GAP Package AtlasRep

AtlasRep Info for A₆

→ ATLAS page for A₆

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

1	G ≤ Sym(6a)	4-trans., on cosets of A5 (1st max.)
2	G ≤ Sym(6b)	4-trans., on cosets of A5 (2nd max.)
3	G ≤ Sym(10)	2-trans., on cosets of 32:4 (3rd max.)
4	G ≤ Sym(15a)	rank 3, on cosets of S4 (4th max.)
5	G ≤ Sym(15b)	rank 3, on cosets of S4 (5th max.)
6	G ≤ GL(4a,2)
7	G ≤ GL(4b,2)
8	G ≤ GL(16,2)
9	G ≤ GL(4,3)
10	G ≤ GL(6,3)
11	G ≤ GL(9,3)
12	G ≤ GL(8a,4)
13	G ≤ GL(8b,4)
14	G ≤ GL(5a,5)
15	G ≤ GL(5b,5)
16	G ≤ GL(8,5)
17	G ≤ GL(10,5)
18	G ≤ GL(3a,9)
19	G ≤ GL(3b,9)
20	G ≤ GL(5a,ℤ)
21	G ≤ GL(5b,ℤ)
22	G ≤ GL(9,ℤ)
23	G ≤ GL(10,ℤ)
24	G ≤ GL(16,ℤ)
25	G ≤ GL(8a,Field([Sqrt(5)]))
26	G ≤ GL(8b,Field([Sqrt(5)]))

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

• presentation:
• maxes (all 5):

  1	A5
  2	A5
  3	32:4
  4	S4
  5	S4

• std. gen. checker:

  (check)

  (pres)

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