GAP Package AtlasRep

AtlasRep Info for 2.Fi₂₂

-> ATLAS page for 2.Fi₂₂

-> Overview of Groups

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)
2	G ≤ Sym(123552)	rank 6, on cosets of O8+(2):S3 < O8+(2):S3 × 2
3	G ≤ GL(176a,3)
4	G ≤ GL(352,5)
5	G ≤ GL(352,7)
6	G ≤ GL(352,11)
7	G ≤ GL(352,13)

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

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

  1
  2	2 × O7(3)
  3	2 × O7(3)
  4	O8+(2):S3 × 2
  5	211.M22
  6
  7
  8	S3 × 2.U4(3).22
  9
  10
  11
  12
  13
  14

File created automatically by GAP on 22-Jun-2011.