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AtlasRep Info for Sz(8).3

→ ATLAS page for Sz(8).3

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Representations for G = Sz(8).3: (all refer to std. generators 1)

1	G ≤ Sym(65)	2-trans., on cosets of 23+3:7:3 (2nd max.)
2	G ≤ Sym(520)	rank 8, on cosets of 23:7:3 < 23+3:7:3
3	G ≤ Sym(560)	rank 7, on cosets of 13:12 (3rd max.)
4	G ≤ Sym(1456)	rank 27, on cosets of 5:4 × 3 (4th max.)
5	G ≤ Sym(2080)	rank 59, on cosets of 7:6 (5th max.)
6	G ≤ GL(12,2)
7	G ≤ GL(48,2)
8	G ≤ GL(64,2)
9	G ≤ GL(14,5)
10	G ≤ GL(63,5)
11	G ≤ GL(105,5)
12	G ≤ GL(195,5)
13	G ≤ GL(14,13)
14	G ≤ GL(14,49)

Programs for G = Sz(8).3:

• class repres.: (for std. generators 1)
• presentation: (for std. generators 1)
• repr. cyc. subg.: (for std. generators 1)
• std. gen. checker: (for std. generators 1)
• maxes (all 5):

  1	Sz(8)
  1	Sz(8)
  2	23+3:7:3
  3	13:12
  4	5:4 × 3
  5	7:6

• restandardizations:

  2 -> 1

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