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AtlasRep Info for 2.J₂

→ ATLAS page for 2.J₂

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

1	G ≤ Sym(200)	rank 5, on cosets of U3(3) < 2 × U3(3)
2	G ≤ Sym(1120)	rank 20, on cosets of 3.A6 < (2 × 3.A6).2
3	G ≤ GL(14,3)
4	G ≤ GL(216,3)
5	G ≤ GL(236,3)
6	G ≤ GL(6,5)
7	G ≤ GL(14,5)
8	G ≤ GL(50a,5)
9	G ≤ GL(50b,5)
10	G ≤ GL(56,5)
11	G ≤ GL(64,5)
12	G ≤ GL(14,7)
13	G ≤ GL(6a,9)
14	G ≤ GL(36a,9)
15	G ≤ GL(50b,9)
16	G ≤ GL(126b,9)
17	G ≤ GL(6a,49)
18	G ≤ GL(50b,49)
19	G ≤ GL(58a,49)

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

• maxes (all 9):

  1	2 × U3(3)
  2	(2 × 3.A6).2
  3	21+4−:2A5
  4	23+4:(3 × S3)
  5	2A4 × A5
  6	2A5 × D10
  7	(2 × L3(2)).2
  8	2.(52:D12)
  9	2.A5

• presentation:
• std. gen. checker:

  (pres)

  (pres)

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