GAP Package AtlasRep

AtlasRep Info for Fi₂₄^'.2

→ ATLAS page for Fi₂₄^'.2

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Representations for G = Fi₂₄^'.2: (all refer to std. generators 1)

1	G ≤ Sym(306936)	rank 3, on cosets of Fi23 × 2 (2nd max.)
3	G ≤ GL(781,3)

Programs for G = Fi₂₄^'.2: (all refer to std. generators 1)

• std. gen. checker:
• std. gen. finder:
• maxes (all 21):

  1	F3+
  2	2 × Fi23
  3	22.Fi22.2
  4	S3 × O8+(3):S3
  5	O10−(2).2
  6	37.O7(3):2
  7	31+10:(2 × U5(2):2)
  8	212.M24
  9	22.U6(2):S3 × 2
  10	21+12+.31.U4(3).22122
  11	33.[310].(L3(3) × 22)
  12	32.34.38.(S5 × 2S4)
  13	S4 × O8+(2):S3
  14	23+12.(L3(2) × S6)
  15	27+8.(S3 × A8)
  16	(S3 × S3 × G2(3)):2
  17	S5 × S9
  18	S6 × L2(8):3
  19	7:6 × S7
  20	71+2+:(6 × S3).2
  21	29:28

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