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AtlasRep Info for 2.Fi₂₂

→ ATLAS page for 2.Fi₂₂

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Representations for G = 2.Fi₂₂: (all refer to std. generators 1)

1	G ≤ Sym(28160)	rank 5, on cosets of O7(3) < 2 × O7(3)
3	G ≤ Sym(123552)	rank 6, on cosets of O8+(2):S3 < O8+(2):S3 × 2
8	G ≤ GL(176a,3)
9	G ≤ GL(352,5)
10	G ≤ GL(352,7)
11	G ≤ GL(352,11)
12	G ≤ GL(352,13)

Programs for G = 2.Fi₂₂: (all refer to std. generators 1)

• presentation:
• std. gen. checker:
• maxes (all 14):

  1	22.U6(2)
  2	2 × O7(3)
  3	2 × O7(3)
  3	2 × O7(3)
  4	O8+(2):S3 × 2
  5	211.M22
  6	27:S6(2)
  7	2.(2 × 21+8):U4(2):2
  8	S3 × 2.U4(3).22
  9	2 × 2F4(2)'
  10	21+5+8.(S3 × A6)
  11	2.(31+6:23+4:32:2)
  12	S10 × 2
  13	S10 × 2
  13	S10 × 2
  14	2 × M12

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