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AtlasRep Info for L₃(5).2

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Representations for G = L₃(5).2: (all refer to std. generators 1)

1	G ≤ Sym(62)	rank 4, on cosets of 52:GL2(5) < L3(5)
2	G ≤ Sym(186)	rank 4, on cosets of 51+2+:[25] (2nd max.)
3	G ≤ Sym(775)	rank 8, on cosets of 4S5.2 (3rd max.)
4	G ≤ Sym(3100)	rank 32, on cosets of S5 × 2 (4th max.)
5	G ≤ Sym(3875)	rank 35, on cosets of 42:D12 (5th max.)
6	G ≤ Sym(4000)	rank 35, on cosets of 31:6 (6th max.)
7	G ≤ GL(6,5)
8	G ≤ GL(8,5)

Programs for G = L₃(5).2: (all refer to std. generators 1)

• presentation:
• std. gen. checker:
• maxes:

  1	L3(5)
  2
  3
  4
  5
  6	31:6

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