GAP Package AtlasRep

AtlasRep Info for 3.G₂(3)

→ ATLAS page for 3.G₂(3)

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Representations for G = 3.G₂(3): (all refer to std. generators 1)

1	G ≤ Sym(1134)	rank 8, on cosets of L3(3).2 < 3 × L3(3).2
2	G ≤ GL(27,4)
3	G ≤ GL(27,7)
4	G ≤ GL(27,13)

Programs for G = 3.G₂(3):

• maxes (all 10):

  1	3 × U3(3).2
  2	3 × U3(3).2
  3	3.(3(1+2)+ × 32):2S4
  4	3.(3(1+2)+ × 32):2S4
  5	3 × L3(3).2
  6	3 × L3(3).2
  7	3 × L2(8).3
  8	3 × 23.L3(2)
  9	3 × L2(13)
  10	3.2(1+4)+:32.2

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