List of finite simple groups
Non-cyclic simple groups of small order
(Complete for orders less than 100,000) Hall (1972) lists the 56 non-cyclic simple groups of order less than a million.

List of finite simple groups

Section Title: Non-cyclic simple groups of small order
Table Section Text: (Complete for orders less than 100,000) Hall (1972) lists the 56 non-cyclic simple groups of order less than a million.

Order	Factored order	Group	Schur multiplier	Outer automorphism group

60	22 ⋅ 3 ⋅ 5	A5 = A1(4) = A1(5)	2	2

168	23 ⋅ 3 ⋅ 7	A1(7) = A2(2)	2	2

360	23 ⋅ 32 ⋅ 5	A6 = A1(9) = B2(2)′	6	2×2

504	23 ⋅ 32 ⋅ 7	A1(8) = 2G2(3)′	1	3

660	22 ⋅ 3 ⋅ 5 ⋅ 11	A1(11)	2	2

1092	22 ⋅ 3 ⋅ 7 ⋅ 13	A1(13)	2	2

2448	24 ⋅ 32 ⋅ 17	A1(17)	2	2

2520	23 ⋅ 32 ⋅ 5 ⋅ 7	A7	6	2

3420	22 ⋅ 32 ⋅ 5 ⋅ 19	A1(19)	2	2

4080	24 ⋅ 3 ⋅ 5 ⋅ 17	A1(16)	1	4

5616	24 ⋅ 33 ⋅ 13	A2(3)	1	2

6048	25 ⋅ 33 ⋅ 7	2A2(9) = G2(2)′	1	2

6072	23 ⋅ 3 ⋅ 11 ⋅ 23	A1(23)	2	2

7800	23 ⋅ 3 ⋅ 52 ⋅ 13	A1(25)	2	2×2

7920	24 ⋅ 32 ⋅ 5 ⋅ 11	M11	1	1

9828	22 ⋅ 33 ⋅ 7 ⋅ 13	A1(27)	2	6

12180	22 ⋅ 3 ⋅ 5 ⋅ 7 ⋅ 29	A1(29)	2	2

14880	25 ⋅ 3 ⋅ 5 ⋅ 31	A1(31)	2	2

20160	26 ⋅ 32 ⋅ 5 ⋅ 7	A3(2) = A8	2	2

20160	26 ⋅ 32 ⋅ 5 ⋅ 7	A2(4)	3×42	D12

25308	22 ⋅ 32 ⋅ 19 ⋅ 37	A1(37)	2	2

25920	26 ⋅ 34 ⋅ 5	2A3(4) = B2(3)	2	2

29120	26 ⋅ 5 ⋅ 7 ⋅ 13	2B2(8)	22	3

32736	25 ⋅ 3 ⋅ 11 ⋅ 31	A1(32)	1	5

34440	23 ⋅ 3 ⋅ 5 ⋅ 7 ⋅ 41	A1(41)	2	2

39732	22 ⋅ 3 ⋅ 7 ⋅ 11 ⋅ 43	A1(43)	2	2

51888	24 ⋅ 3 ⋅ 23 ⋅ 47	A1(47)	2	2

58800	24 ⋅ 3 ⋅ 52 ⋅ 72	A1(49)	2	22

62400	26 ⋅ 3 ⋅ 52 ⋅ 13	2A2(16)	1	4

74412	22 ⋅ 33 ⋅ 13 ⋅ 53	A1(53)	2	2

95040	26 ⋅ 33 ⋅ 5 ⋅ 11	M12	2	2

Sentence(s)

The two finite simple groups A₈ = A₃(2) and A₂(4) 20160 have the same order, 20160.

final_sentence: The two finite simple groups A₈ = A₃(2) and A₂(4) 20160 have the same order, 20160.