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The following list in mathematics contains the finite groups of small order up to group isomorphism.

Counts

For n = 1, 2, … the number of nonisomorphic groups of order n is

1, 1, 1, 2, 1, 2, 1, 5, 2, 2, 1, 5, 1, 2, 1, 14, 1, 5, 1, 5, ... (sequence A000001 in the OEIS)

For labeled groups, see OEIS: A034383.

Glossary

Each group is named by Small Groups library as G_oⁱ, where o is the order of the group, and i is the index used to label the group within that order.

Common group names:

Z_n: the cyclic group of order n (the notation C_n is also used; it is isomorphic to the additive group of Z/nZ)
Dih_n: the dihedral group of order 2n (often the notation D_n or D_2n is used)
- K₄: the Klein four-group of order 4, same as Z₂ × Z₂ and Dih₂
D_2n: the dihedral group of order 2n, the same as Dih_n (notation used in section List of small non-abelian groups)
S_n: the symmetric group of degree n, containing the n! permutations of n elements
A_n: the alternating group of degree n, containing the even permutations of n elements, of order 1 for n = 0, 1, and order n!/2 otherwise
Dic_n or Q_4n: the dicyclic group of order 4n
- Q₈: the quaternion group of order 8, also Dic₂

The notations Z_n and Dih_n have the advantage that point groups in three dimensions C_n and D_n do not have the same notation. There are more isometry groups than these two, of the same abstract group type.

The notation G × H denotes the direct product of the two groups; Gⁿ denotes the direct product of a group with itself n times. G ⋊ H denotes a semidirect product where H acts on G; this may also depend on the choice of action of H on G.

Abelian and simple groups are noted. (For groups of order n < 60, the simple groups are precisely the cyclic groups Z_n, for prime n.) The equality sign ("=") denotes isomorphism.

The identity element in the cycle graphs is represented by the black circle. The lowest order for which the cycle graph does not uniquely represent a group is order 16.

In the lists of subgroups, the trivial group and the group itself are not listed. Where there are several isomorphic subgroups, the number of such subgroups is indicated in parentheses.

Angle brackets <relations> show the presentation of a group.

List of small abelian groups

The finite abelian groups are either cyclic groups, or direct products thereof; see Abelian group. The numbers of nonisomorphic abelian groups of orders n = 1, 2, ... are

1, 1, 1, 2, 1, 1, 1, 3, 2, 1, 1, 2, 1, 1, 1, 5, 1, 2, 1, 2, ... (sequence A000688 in the OEIS)

For labeled abelian groups, see OEIS: A034382.

List of all abelian groups up to order 31
Order	Id.^[a]	G_oⁱ	Group	Non-trivial proper subgroups^[1]	Properties
1	1	G₁¹	Z₁ = S₁ = A₂	–	Trivial. Cyclic. Alternating. Symmetric. Elementary.
2	2	G₂¹	Z₂ = S₂ = D₂	–	Simple. Symmetric. Cyclic. Elementary. (Smallest non-trivial group.)
3	3	G₃¹	Z₃ = A₃	–	Simple. Alternating. Cyclic. Elementary.
4	4	G₄¹	Z₄ = Dic₁	Z₂	Cyclic.
4	5	G₄²	Z₂² = K₄ = D₄	Z₂ (3)	Elementary. Product. (Klein four-group. The smallest non-cyclic group.)
5	6	G₅¹	Z₅	–	Simple. Cyclic. Elementary.
6	8	G₆²	Z₆ = Z₃ × Z₂^[2]	Z₃, Z₂	Cyclic. Product.
7	9	G₇¹	Z₇	–	Simple. Cyclic. Elementary.
8	10	G₈¹	Z₈	Z₄, Z₂	Cyclic.
	11	G₈²	Z₄ × Z₂	Z₂², Z₄ (2), Z₂ (3)	Product.
	14	G₈⁵	Z₂³	Z₂² (7), Z₂ (7)	Product. Elementary. (The non-identity elements correspond to the points in the Fano plane, the Z₂ × Z₂ subgroups to the lines.)
9	15	G₉¹	Z₉	Z₃	Cyclic.
9	16	G₉²	Z₃²	Z₃ (4)	Elementary. Product.
10	18	G₁₀²	Z₁₀ = Z₅ × Z₂	Z₅, Z₂	Cyclic. Product.
11	19	G₁₁¹	Z₁₁	–	Simple. Cyclic. Elementary.
12	21	G₁₂²	Z₁₂ = Z₄ × Z₃	Z₆, Z₄, Z₃, Z₂	Cyclic. Product.
12	24	G₁₂⁵	Z₆ × Z₂ = Z₃ × Z₂²	Z₆ (3), Z₃, Z₂ (3), Z₂²	Product.
13	25	G₁₃¹	Z₁₃	–	Simple. Cyclic. Elementary.
14	27	G₁₄²	Z₁₄ = Z₇ × Z₂	Z₇, Z₂	Cyclic. Product.
15	28	G₁₅¹	Z₁₅ = Z₅ × Z₃	Z₅, Z₃	Cyclic. Product.
16	29	G₁₆¹	Z₁₆	Z₈, Z₄, Z₂	Cyclic.
	30	G₁₆²	Z₄²	Z₂ (3), Z₄ (6), Z₂², Z₄ × Z₂ (3)	Product.
	33	G₁₆⁵	Z₈ × Z₂	Z₂ (3), Z₄ (2), Z₂², Z₈ (2), Z₄ × Z₂	Product.
	38	G₁₆¹⁰	Z₄ × Z₂²	Z₂ (7), Z₄ (4), Z₂² (7), Z₂³, Z₄ × Z₂ (6)	Product.
	42	G₁₆¹⁴	Z₂⁴ = K₄²	Z₂ (15), Z₂² (35), Z₂³ (15)	Product. Elementary.
17	43	G₁₇¹	Z₁₇	–	Simple. Cyclic. Elementary.
18	45	G₁₈²	Z₁₈ = Z₉ × Z₂	Z₉, Z₆, Z₃, Z₂	Cyclic. Product.
18	48	G₁₈⁵	Z₆ × Z₃ = Z₃² × Z₂	Z₂, Z₃ (4), Z₆ (4), Z₃²	Product.
19	49	G₁₉¹	Z₁₉	–	Simple. Cyclic. Elementary.
20	51	G₂₀²	Z₂₀ = Z₅ × Z₄	Z₁₀, Z₅, Z₄, Z₂	Cyclic. Product.
20	54	G₂₀⁵	Z₁₀ × Z₂ = Z₅ × Z₂²	Z₂ (3), K₄, Z₅, Z₁₀ (3)	Product.
21	56	G₂₁²	Z₂₁ = Z₇ × Z₃	Z₇, Z₃	Cyclic. Product.
22	58	G₂₂²	Z₂₂ = Z₁₁ × Z₂	Z₁₁, Z₂	Cyclic. Product.
23	59	G₂₃¹	Z₂₃	–	Simple. Cyclic. Elementary.
24	61	G₂₄²	Z₂₄ = Z₈ × Z₃	Z₁₂, Z₈, Z₆, Z₄, Z₃, Z₂	Cyclic. Product.
	68	G₂₄⁹	Z₁₂ × Z₂ = Z₆ × Z₄ = Z₄ × Z₃ × Z₂	Z₁₂, Z₆, Z₄, Z₃, Z₂	Product.
	74	G₂₄¹⁵	Z₆ × Z₂² = Z₃ × Z₂³	Z₆, Z₃, Z₂	Product.
25	75	G₂₅¹	Z₂₅	Z₅	Cyclic.
25	76	G₂₅²	Z₅²	Z₅ (6)	Product. Elementary.
26	78	G₂₆²	Z₂₆ = Z₁₃ × Z₂	Z₁₃, Z₂	Cyclic. Product.
27	79	G₂₇¹	Z₂₇	Z₉, Z₃	Cyclic.
	80	G₂₇²	Z₉ × Z₃	Z₉, Z₃	Product.
	83	G₂₇⁵	Z₃³	Z₃	Product. Elementary.
28	85	G₂₈²	Z₂₈ = Z₇ × Z₄	Z₁₄, Z₇, Z₄, Z₂	Cyclic. Product.
28	87	G₂₈⁴	Z₁₄ × Z₂ = Z₇ × Z₂²	Z₁₄, Z₇, Z₄, Z₂	Product.
29	88	G₂₉¹	Z₂₉	–	Simple. Cyclic. Elementary.
30	92	G₃₀⁴	Z₃₀ = Z₁₅ × Z₂ = Z₁₀ × Z₃ = Z₆ × Z₅ = Z₅ × Z₃ × Z₂	Z₁₅, Z₁₀, Z₆, Z₅, Z₃, Z₂	Cyclic. Product.
31	93	G₃₁¹	Z₃₁	–	Simple. Cyclic. Elementary.

List of small non-abelian groups

The numbers of non-abelian groups, by order, are counted by (sequence A060689 in the OEIS). However, many orders have no non-abelian groups. The orders for which a non-abelian group exists are

6, 8, 10, 12, 14, 16, 18, 20, 21, 22, 24, 26, 27, 28, 30, 32, 34, 36, 38, 39, 40, 42, 44, 46, 48, 50, ... (sequence A060652 in the OEIS)

List of all nonabelian groups up to order 31
Order	Id.^[a]	G_oⁱ	Group	Non-trivial proper subgroups^[1]	Properties
6	7	G₆¹	D₆ = S₃ = Z₃ ⋊ Z₂	Z₃, Z₂ (3)	Dihedral group, Dih₃, the smallest non-abelian group, symmetric group, smallest Frobenius group.
8	12	G₈³	D₈	Z₄, Z₂² (2), Z₂ (5)	Dihedral group, Dih₄. Extraspecial group. Nilpotent.
8	13	G₈⁴	Q₈	Z₄ (3), Z₂	Quaternion group, Hamiltonian group (all subgroups are normal without the group being abelian). The smallest group G demonstrating that for a normal subgroup H the quotient group G/H need not be isomorphic to a subgroup of G. Extraspecial group. Dic₂,^[3] Binary dihedral group <2,2,2>.^[4] Nilpotent.
10	17	G₁₀¹	D₁₀	Z₅, Z₂ (5)	Dihedral group, Dih₅, Frobenius group.
12	20	G₁₂¹	Q₁₂ = Z₃ ⋊ Z₄	Z₂, Z₃, Z₄ (3), Z₆	Dicyclic group Dic₃, Binary dihedral group, <3,2,2>^[4]
	22	G₁₂³	A₄ = K₄ ⋊ Z₃ = (Z₂ × Z₂) ⋊ Z₃	Z₂², Z₃ (4), Z₂ (3)	Alternating group. No subgroups of order 6, although 6 divides its order. Smallest Frobenius group that is not a dihedral group. Chiral tetrahedral symmetry (T)
	23	G₁₂⁴	D₁₂ = D₆ × Z₂	Z₆, D₆ (2), Z₂² (3), Z₃, Z₂ (7)	Dihedral group, Dih₆, product.
14	26	G₁₄¹	D₁₄	Z₇, Z₂ (7)	Dihedral group, Dih₇, Frobenius group
16^[5]	31	G₁₆³	G_4,4 = K₄ ⋊ Z₄	Z₂³, Z₄ × Z₂ (2), Z₄ (4), Z₂² (7), Z₂ (7)	Has the same number of elements of every order as the Pauli group. Nilpotent.
	32	G₁₆⁴	Z₄ ⋊ Z₄	Z₂² × Z₂ (3), Z₄ (6), Z₂², Z₂ (3)	The squares of elements do not form a subgroup. Has the same number of elements of every order as Q₈ × Z₂. Nilpotent.
	34	G₁₆⁶	Z₈ ⋊ Z₂	Z₈ (2), Z₂² × Z₂, Z₄ (2), Z₂², Z₂ (3)	Sometimes called the modular group of order 16, though this is misleading as abelian groups and Q₈ × Z₂ are also modular. Nilpotent.
	35	G₁₆⁷	D₁₆	Z₈, D₈ (2), Z₂² (4), Z₄, Z₂ (9)	Dihedral group, Dih₈. Nilpotent.
	36	G₁₆⁸	QD₁₆	Z₈, Q₈, D₈, Z₄ (3), Z₂² (2), Z₂ (5)	The order 16 quasidihedral group. Nilpotent.
	37	G₁₆⁹	Q₁₆	Z₈, Q₈ (2), Z₄ (5), Z₂	Generalized quaternion group, Dicyclic group Dic₄, binary dihedral group, <4,2,2>.^[4] Nilpotent.
	39	G₁₆¹¹	D₈ × Z₂	D₈ (4), Z₄ × Z₂, Z₂³ (2), Z₂² (13), Z₄ (2), Z₂ (11)	Product. Nilpotent.
	40	G₁₆¹²	Q₈ × Z₂	Q₈ (4), Z₂² × Z₂ (3), Z₄ (6), Z₂², Z₂ (3)	Hamiltonian group, product. Nilpotent.
	41	G₁₆¹³	(Z₄ × Z₂) ⋊ Z₂	Q₈, D₈ (3), Z₄ × Z₂ (3), Z₄ (4), Z₂² (3), Z₂ (7)	The Pauli group generated by the Pauli matrices. Nilpotent.
18	44	G₁₈¹	D₁₈	Z₉, D₆ (3), Z₃, Z₂ (9)	Dihedral group, Dih₉, Frobenius group.
	46	G₁₈³	Z₃ ⋊ Z₆ = D₆ × Z₃ = S₃ × Z₃	Z₃², D₆, Z₆ (3), Z₃ (4), Z₂ (3)	Product.
	47	G₁₈⁴	(Z₃ × Z₃) ⋊ Z₂	Z₃², D₆ (12), Z₃ (4), Z₂ (9)	Frobenius group.
20	50	G₂₀¹	Q₂₀	Z₁₀, Z₅, Z₄ (5), Z₂	Dicyclic group Dic₅, Binary dihedral group, <5,2,2>.^[4]
	52	G₂₀³	Z₅ ⋊ Z₄	D₁₀, Z₅, Z₄ (5), Z₂ (5)	Frobenius group.
	53	G₂₀⁴	D₂₀ = D₁₀ × Z₂	Z₁₀, D₁₀ (2), Z₅, Z₂² (5), Z₂ (11)	Dihedral group, Dih₁₀, product.
21	55	G₂₁¹	Z₇ ⋊ Z₃	Z₇, Z₃ (7)	Smallest non-abelian group of odd order. Frobenius group.
22	57	G₂₂¹	D₂₂	Z₁₁, Z₂ (11)	Dihedral group Dih₁₁, Frobenius group.
24	60	G₂₄¹	Z₃ ⋊ Z₈	Z₁₂, Z₈ (3), Z₆, Z₄, Z₃, Z₂	Central extension of S₃.
	62	G₂₄³	SL(2,3) = Q₈ ⋊ Z₃	Q₈, Z₆ (4), Z₄ (3), Z₃ (4), Z₂	Binary tetrahedral group, 2T = <3,3,2>.^[4]
	63	G₂₄⁴	Q₂₄ = Z₃ ⋊ Q₈	Z₁₂, Q₁₂ (2), Q₈ (3), Z₆, Z₄ (7), Z₃, Z₂	Dicyclic group Dic₆, Binary dihedral, <6,2,2>.^[4]
	64	G₂₄⁵	D₆ × Z₄ = S₃ × Z₄	Z₁₂, D₁₂, Q₁₂, Z₄ × Z₂ (3), Z₆, D₆ (2), Z₄ (4), Z₂² (3), Z₃, Z₂ (7)	Product.
	65	G₂₄⁶	D₂₄	Z₁₂, D₁₂ (2), D₈ (3), Z₆, D₆ (4), Z₄, Z₂² (6), Z₃, Z₂ (13)	Dihedral group, Dih₁₂.
	66	G₂₄⁷	Q₁₂ × Z₂ = Z₂ × (Z₃ ⋊ Z₄)	Z₆ × Z₂, Q₁₂ (2), Z₄ × Z₂ (3), Z₆ (3), Z₄ (6), Z₂², Z₃, Z₂ (3)	Product.
	67	G₂₄⁸	(Z₆ × Z₂) ⋊ Z₂ = Z₃ ⋊ Dih₄	Z₆ × Z₂, D₁₂, Q₁₂, D₈ (3), Z₆ (3), D₆ (2), Z₄ (3), Z₂² (4), Z₃, Z₂ (9)	Double cover of dihedral group.
	69	G₂₄¹⁰	D₈ × Z₃	Z₁₂, Z₆ × Z₂ (2), D₈, Z₆ (5), Z₄, Z₂² (2), Z₃, Z₂ (5)	Product. Nilpotent.
	70	G₂₄¹¹	Q₈ × Z₃	Z₁₂ (3), Q₈, Z₆, Z₄ (3), Z₃, Z₂	Product. Nilpotent.
	71	G₂₄¹²	S₄	A₄, D₈ (3), D₆ (4), Z₄ (3), Z₂² (4), Z₃ (4), Z₂ (9)^[6]	Symmetric group. Has no normal Sylow subgroups. Chiral octahedral symmetry (O), Achiral tetrahedral symmetry (T_d)
	72	G₂₄¹³	A₄ × Z₂	A₄, Z₂³, Z₆ (4), Z₂² (7), Z₃ (4), Z₂ (7)	Product. Pyritohedral symmetry (T_h)
	73	G₂₄¹⁴	D₁₂ × Z₂	Z₆ × Z₂, D₁₂ (6), Z₂³ (3), Z₆ (3), D₆ (4), Z₂² (19), Z₃, Z₂ (15)	Product.
26	77	G₂₆¹	D₂₆	Z₁₃, Z₂ (13)	Dihedral group, Dih₁₃, Frobenius group.
27	81	G₂₇³	Z₃² ⋊ Z₃	Z₃² (4), Z₃ (13)	All non-trivial elements have order 3. Extraspecial group. Nilpotent.
27	82	G₂₇⁴	Z₉ ⋊ Z₃	Z₉ (3), Z₃², Z₃ (4)	Extraspecial group. Nilpotent.
28	84	G₂₈¹	Z₇ ⋊ Z₄	Z₁₄, Z₇, Z₄ (7), Z₂	Dicyclic group Dic₇, Binary dihedral group, <7,2,2>.^[4]
28	86	G₂₈³	D₂₈ = D₁₄ × Z₂	Z₁₄, D₁₄ (2), Z₇, Z₂² (7), Z₂ (9)	Dihedral group, Dih₁₄, product.
30	89	G₃₀¹	D₆ × Z₅	Z₁₅, Z₁₀ (3), D₆, Z₅, Z₃, Z₂ (3)	Product.
	90	G₃₀²	D₁₀ × Z₃	Z₁₅, D₁₀, Z₆ (5), Z₅, Z₃, Z₂ (5)	Product.
	91	G₃₀³	D₃₀	Z₁₅, D₁₀ (3), D₆ (5), Z₅, Z₃, Z₂ (15)	Dihedral group, Dih₁₅, Frobenius group.

Classifying groups of small order

Small groups of prime power order pⁿ are given as follows:

Order p: The only group is cyclic.
Order p²: There are just two groups, both abelian.
Order p³: There are three abelian groups, and two non-abelian groups. One of the non-abelian groups is the semidirect product of a normal cyclic subgroup of order p² by a cyclic group of order p. The other is the quaternion group for p = 2 and a group of exponent p for p > 2.
Order p⁴: The classification is complicated, and gets much harder as the exponent of p increases.

Most groups of small order have a Sylow p subgroup P with a normal p-complement N for some prime p dividing the order, so can be classified in terms of the possible primes p, p-groups P, groups N, and actions of P on N. In some sense this reduces the classification of these groups to the classification of p-groups. Some of the small groups that do not have a normal p-complement include:

Order 24: The symmetric group S₄
Order 48: The binary octahedral group and the product S₄ × Z₂
Order 60: The alternating group A₅.

The smallest order for which it is not known how many nonisomorphic groups there are is 2048 = 2¹¹.^[7]

Small Groups Library

The GAP computer algebra system contains a package called the "Small Groups library," which provides access to descriptions of small order groups. The groups are listed up to isomorphism. At present, the library contains the following groups:^[8]

those of order at most 2000^[9] except for order 1024 (423164062 groups in the library; the ones of order 1024 had to be skipped, as there are additional 49487367289 nonisomorphic 2-groups of order 1024^[10]);
those of cubefree order at most 50000 (395 703 groups);
those of squarefree order;
those of order pⁿ for n at most 6 and p prime;
those of order p⁷ for p = 3, 5, 7, 11 (907 489 groups);
those of order pqⁿ where qⁿ divides 2⁸, 3⁶, 5⁵ or 7⁴ and p is an arbitrary prime which differs from q;
those whose orders factorise into at most 3 primes (not necessarily distinct).

It contains explicit descriptions of the available groups in computer readable format.

The smallest order for which the Small Groups library does not have information is 1024.

Notes

^ ^a ^b Identifier when groups are numbered by order, o, then by index, i, from the small groups library, starting at 1.

^ ^a ^b Dockchitser, Tim. "Group Names". Retrieved 23 May 2023.
^ See a worked example showing the isomorphism Z₆ = Z₃ × Z₂.
^ Chen, Jing; Tang, Lang (2020). "The Commuting Graphs on Dicyclic Groups". Algebra Colloquium. 27 (4): 799–806. doi:10.1142/S1005386720000668. ISSN 1005-3867. S2CID 228827501.
^ ^a ^b ^c ^d ^e ^f ^g Coxeter, H. S. M. (1957). Generators and relations for discrete groups. Berlin: Springer. doi:10.1007/978-3-662-25739-5. ISBN 978-3-662-23654-3. <l,m,n>: R^l=S^m=Tⁿ=RST:
^ Wild, Marcel (2005). "The Groups of Order Sixteen Made Easy" (PDF). Am. Math. Mon. 112 (1): 20–31. doi:10.1080/00029890.2005.11920164. JSTOR 30037381. S2CID 15362871. Archived from the original (PDF) on 2006-09-23.
^ "Subgroup structure of symmetric group:S4 - Groupprops".
^ Eick, Bettina; Horn, Max; Hulpke, Alexander (2018). Constructing groups of Small Order: Recent results and open problems (PDF). Springer. pp. 199–211. doi:10.1007/978-3-319-70566-8_8. ISBN 978-3-319-70566-8.
^ Hans Ulrich Besche The Small Groups library Archived 2012-03-05 at the Wayback Machine
^ "Numbers of isomorphism types of finite groups of given order". www.icm.tu-bs.de. Archived from the original on 2019-07-25. Retrieved 2017-04-05.
^ Burrell, David (2021-12-08). "On the number of groups of order 1024". Communications in Algebra. 50 (6): 2408–2410. doi:10.1080/00927872.2021.2006680.

References

Coxeter, H. S. M. & Moser, W. O. J. (1980). Generators and Relations for Discrete Groups. New York: Springer-Verlag. ISBN 0-387-09212-9., Table 1, Nonabelian groups order<32.
Hall, Jr., Marshall; Senior, James K. (1964). "The Groups of Order 2ⁿ (n ≤ 6)". MathSciNet. Macmillan. MR 0168631. A catalog of the 340 groups of order dividing 64 with tables of defining relations, constants, and lattice of subgroups of each group.

External links

Particular groups in the Group Properties Wiki
Besche, H.U.; Eick, B.; O'Brien, E. "Small Group Library". Archived from the original on 2012-03-05.
GroupNames database
Hall, Jr., Marshall; Senior, James Kuhn (1964). The Groups of Order 2ⁿ (n ≤ 6). New York: Macmillan / London: Collier-Macmillan Ltd. LCCN 64016861

[id-1] Identifier when groups are numbered by order, o, then by index, i, from the small groups library, starting at 1.

[Dockchitser-2] Dockchitser, Tim. "Group Names". Retrieved 23 May 2023.

[3] See a worked example showing the isomorphism Z₆ = Z₃ × Z₂.

[ChenTang2020-4] Chen, Jing; Tang, Lang (2020). "The Commuting Graphs on Dicyclic Groups". Algebra Colloquium. 27 (4): 799–806. doi:10.1142/S1005386720000668. ISSN 1005-3867. S2CID 228827501.

[anglebracket-5] ^ ^a ^b ^c ^d ^e ^f ^g Coxeter, H. S. M. (1957). Generators and relations for discrete groups. Berlin: Springer. doi:10.1007/978-3-662-25739-5. ISBN 978-3-662-23654-3. <l,m,n>: R^l=S^m=Tⁿ=RST:

[6] Wild, Marcel (2005). "The Groups of Order Sixteen Made Easy" (PDF). Am. Math. Mon. 112 (1): 20–31. doi:10.1080/00029890.2005.11920164. JSTOR 30037381. S2CID 15362871. Archived from the original (PDF) on 2006-09-23.

[7] "Subgroup structure of symmetric group:S4 - Groupprops".

[8] Eick, Bettina; Horn, Max; Hulpke, Alexander (2018). Constructing groups of Small Order: Recent results and open problems (PDF). Springer. pp. 199–211. doi:10.1007/978-3-319-70566-8_8. ISBN 978-3-319-70566-8.

[gap-9] Hans Ulrich Besche The Small Groups library Archived 2012-03-05 at the Wayback Machine

[10] "Numbers of isomorphism types of finite groups of given order". www.icm.tu-bs.de. Archived from the original on 2019-07-25. Retrieved 2017-04-05.

[Burrell-11] Burrell, David (2021-12-08). "On the number of groups of order 1024". Communications in Algebra. 50 (6): 2408–2410. doi:10.1080/00927872.2021.2006680.

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