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AtlasRep Info for 3.A₆

→ ATLAS page for 3.A₆

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Representations for G = 3.A₆: (all refer to std. generators 1)

1	G ≤ Sym(18a)	rank 4, on cosets of A5 < 3 × A5
2	G ≤ Sym(18b)	rank 4, on cosets of A5 < 3 × A5
3	G ≤ Sym(45a)	rank 7, on cosets of S4 < 3 × S4
4	G ≤ Sym(45b)	rank 7, on cosets of S4 < 3 × S4
5	G ≤ GL(6a,2)
6	G ≤ GL(6b,2)
7	G ≤ GL(18,2)
8	G ≤ GL(3a,4)
9	G ≤ GL(3b,4)
10	G ≤ GL(9a,4)
11	G ≤ GL(6b,5)
12	G ≤ GL(12,5)
13	G ≤ GL(30,5)
14	G ≤ GL(3a,25)
15	G ≤ GL(6a,25)
16	G ≤ GL(15a,25)
17	G ≤ GL(3a,Field([EY(15,1)]))
18	G ≤ GL(6,Field([Sqrt(-3)]))
19	G ≤ GL(9,Field([Sqrt(-3)]))
20	G ≤ GL(15,Field([EY(15,1)]))

Programs for G = 3.A₆:

• maxes (all 5):

  1	3 × A5
  2	3 × A5
  3	31+2:4
  4	3 × S4
  5	3 × S4

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