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AtlasRep Info for G₂(5)

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Representations for G = G₂(5): (all refer to std. generators 1)

1	G ≤ Sym(3906a)	rank 4, on cosets of 51+4+:GL(2, 5) (1st max.)
2	G ≤ Sym(3906b)	rank 4, on cosets of 52+3:GL2(5) (2nd max.)
3	G ≤ Sym(7750)	rank 4, on cosets of 3.U3(5).2 (3rd max.)
4	G ≤ Sym(7875)	rank 5, on cosets of L3(5).2 (4th max.)
5	G ≤ GL(124,2)
6	G ≤ GL(124,3)
7	G ≤ GL(651,3)
8	G ≤ GL(7,5)
9	G ≤ GL(14,5)
10	G ≤ GL(27,5)
11	G ≤ GL(64,5)
12	G ≤ GL(77a,5)
13	G ≤ GL(77b,5)
14	G ≤ GL(97,5)
15	G ≤ GL(182,5)
16	G ≤ GL(189,5)
17	G ≤ GL(196,5)
18	G ≤ GL(371,5)
19	G ≤ GL(469,5)
20	G ≤ GL(483,5)
21	G ≤ GL(721,5)
22	G ≤ GL(792,5)

Programs for G = G₂(5): (all refer to std. generators 1)

• maxes (all 7):

  1	51+4+:GL(2, 5)
  2	52.5.52.4S5
  3	3.U3(5).2
  4	L3(5).2
  4	L3(5).2
  5	2.(A5 × A5).2
  6	U3(3).2
  7	23.L3(2)

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