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AtlasRep Info for J₂.2

→ ATLAS page for J₂.2

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Representations for G = J₂.2: (all refer to std. generators 1)

1	G ≤ Sym(100)	rank 3, on cosets of U3(3).2 (2nd max.)
15	G ≤ GL(12,2)
16	G ≤ GL(28,2)
17	G ≤ GL(36,2)
18	G ≤ GL(84,2)
19	G ≤ GL(128,2)
20	G ≤ GL(160,2)
21	G ≤ GL(26,3)
22	G ≤ GL(36a,3)
23	G ≤ GL(42,3)
24	G ≤ GL(63a,3)
25	G ≤ GL(90a,3)
26	G ≤ GL(114,3)
27	G ≤ GL(133a,3)
28	G ≤ GL(225a,3)
29	G ≤ GL(378,3)
30	G ≤ GL(14a,5)
31	G ≤ GL(21a,5)
32	G ≤ GL(41a,5)
33	G ≤ GL(70a,5)
34	G ≤ GL(85a,5)
35	G ≤ GL(90a,5)
36	G ≤ GL(175a,5)
37	G ≤ GL(189a,5)
38	G ≤ GL(225a,5)
39	G ≤ GL(300a,5)
40	G ≤ GL(28,7)
41	G ≤ GL(28a,7)
42	G ≤ GL(36a,7)
43	G ≤ GL(42a,7)
44	G ≤ GL(63a,7)
45	G ≤ GL(89a,7)
46	G ≤ GL(101a,7)
47	G ≤ GL(124a,7)
48	G ≤ GL(126a,7)
49	G ≤ GL(140a,7)
50	G ≤ GL(175a,7)
51	G ≤ GL(199a,7)
52	G ≤ GL(378a,7)
53	G ≤ GL(448a,7)
54	G ≤ GL(336a,49)

Programs for G = J₂.2: (all refer to std. generators 1)

• repr. cyc. subg.:
• std. gen. checker:
• std. gen. finder:
• maxes (all 10):

  1	J2
  2	U3(3).2
  2	U3(3).2
  3	3.A6.22
  3	3.A6.22
  4	21+4.S5
  5	22+4:(S3 × S3)
  6	(A4 × A5):2
  7	(A5 × D10).2
  8	L3(2).2 × 2
  8	L3(2).2 × 2
  9	52:(4 × S3)
  10	S5
  10	S5

File created automatically by GAP on 22-Apr-2022.