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AtlasRep Info for 2.L₃(2)

→ ATLAS page for 2.L₃(2)

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

1	G ≤ Sym(16)	rank 4, on cosets of 7:3 < 2 × 7:3
2	G ≤ Sym(48)	rank 12, on cosets of 7 < 2 × 7:3
3	G ≤ Sym(112)	rank 40, on cosets of 3 < 2 × 7:3
4	G ≤ Sym(336)	rank 336, on cosets of 1 < 2 × 7:3
5	G ≤ GL(8,3)
6	G ≤ GL(12,3)
7	G ≤ GL(2,7)
8	G ≤ GL(4,7)
9	G ≤ GL(6,7)
10	G ≤ GL(4a,9)
11	G ≤ GL(4b,9)
12	G ≤ GL(6a,9)
13	G ≤ GL(6b,9)

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

• presentation:
• std. gen. checker:
• maxes (all 3):

  1	2.S4
  1	2.S4
  1	2.S4
  2	2.S4
  2	2.S4
  2	2.S4
  3	2 × 7:3
  3	2 × 7:3
  3	2 × 7:3

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