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AtlasRep Info for Isoclinic(2.L₃(2).2)

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

1	G ≤ Sym(16a)	rank 3, on cosets of 7:6 < 2 × 7:6
2	G ≤ Sym(16b)	rank 3, on cosets of 7:6 < 2 × 7:6
3	G ≤ Sym(32)	rank 8, on cosets of 7:3 < 2.L2(7)
4	G ≤ Sym(48a)	rank 9, on cosets of D14 < 2 × 7:6
5	G ≤ Sym(48b)	rank 9, on cosets of D14 < 2 × 7:6
6	G ≤ Sym(96)	rank 24, on cosets of 7 < 2.L2(7)
7	G ≤ Sym(112a)	rank 23, on cosets of S3 < 2.D12
8	G ≤ Sym(112b)	rank 21, on cosets of 6 < 2 × 7:6
9	G ≤ Sym(224)	rank 80, on cosets of 3 < 2.L2(7)
10	G ≤ Sym(336)	rank 171, on cosets of 2 < 2.D12
11	G ≤ Sym(672)	rank 672, on cosets of 1 < 2.L2(7)

Programs for G = Isoclinic(2.L₃(2).2):

• maxes (all 4):

  1	2.L3(2)
  2
  3
  4

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