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AtlasRep Info for J₃.2

→ ATLAS page for J₃.2

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Representations for G = J₃.2: (all refer to std. generators 1)

1	G ≤ Sym(6156)	rank 7, on cosets of L2(16).4 (2nd max.)
3	G ≤ GL(80a,2)
4	G ≤ GL(156a,2)
5	G ≤ GL(168a,2)
6	G ≤ GL(244a,2)
7	G ≤ GL(644a,2)
8	G ≤ GL(966a,2)
9	G ≤ GL(36,3)
10	G ≤ GL(36a,3)
11	G ≤ GL(168a,3)
12	G ≤ GL(306a,3)
13	G ≤ GL(324a,3)
14	G ≤ GL(934a,3)
15	G ≤ GL(170a,5)
16	G ≤ GL(323b,5)
17	G ≤ GL(646a,5)
18	G ≤ GL(816a,5)
19	G ≤ GL(170a,17)
20	G ≤ GL(324a,17)
21	G ≤ GL(379a,17)
22	G ≤ GL(646a,17)
23	G ≤ GL(836a,17)
24	G ≤ GL(85a,19)
25	G ≤ GL(110a,19)
26	G ≤ GL(214a,19)
27	G ≤ GL(214b,19)
28	G ≤ GL(646a,19)
29	G ≤ GL(706a,19)
30	G ≤ GL(919a,19)
31	G ≤ GL(1001a,19)
32	G ≤ GL(1214a,19)

Programs for G = J₃.2: (all refer to std. generators 1)

• presentation:
• repr. cyc. subg.:
• std. gen. finder:
• maxes (all 9):

  1	J3
  1	J3
  2	L2(16).4
  2	L2(16).4
  3	24:(3 × A5):2
  3	24:(3 × A5):2
  4	L2(17) × 2
  4	L2(17) × 2
  4	L2(17) × 2
  5	(3 × M10):2
  5	(3 × M10):2
  6	32.31+2:8.2
  6	32.31+2:8.2
  7	21+4.S5
  7	21+4.S5
  8	22+4:(S3 × S3)
  8	22+4:(S3 × S3)
  9	19:18
  9	19:18

• std. gen. checker:

  (check)

  (pres)

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