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AtlasRep Info for 3.Fi₂₂

→ ATLAS page for 3.Fi₂₂

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Representations for G = 3.Fi₂₂: (all refer to std. generators 1)

1	G ≤ Sym(185328)	rank 10, on cosets of O8+(2):S3 < 3 × O8+(2):S3
7	G ≤ GL(27a,4)
8	G ≤ GL(351a,7)

Programs for G = 3.Fi₂₂:

• maxes (all 14):

  1	6.U6(2)
  2	3.O7(3)
  3	3.O7(3)
  3	3.O7(3)
  4	3 × O8+(2):S3
  5	210:3.M22
  6	3 × 26:S6(2)
  7	3 × (2 × 21+8):U4(2):2
  8	S3 × 31.U4(3).22
  9	3 × 2F4(2)'
  10	25+8:(S3 × 3.A6)
  11	3.31+6:23+4:32:2
  12	3 × A10.2
  13	3 × A10.2
  13	3 × A10.2
  14	3 × M12

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