GAP Package AtlasRep

AtlasRep Info for A₅

→ ATLAS page for A₅

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Representations for G = A₅: (all refer to std. generators 1)

1	G ≤ Sym(5)	3-trans., on cosets of A4 (1st max.)
2	G ≤ Sym(6)	2-trans., on cosets of D10 (2nd max.)
3	G ≤ Sym(10)	rank 3, on cosets of S3 (3rd max.)
4	G ≤ GL(4a,2)	character 4a
5	G ≤ GL(4b,2)	character 2ab
6	G ≤ GL(4,3)	character 4a
7	G ≤ GL(6,3)	character 3ab
8	G ≤ GL(2a,4)	character 2a
9	G ≤ GL(2b,4)	character 2b
10	G ≤ GL(3,5)	character 3a
11	G ≤ GL(5,5)	character 5a
12	G ≤ GL(3a,9)	character 3a
13	G ≤ GL(3b,9)	character 3b
14	G ≤ GL(4,ℤ)	character 4a
15	G ≤ GL(5,ℤ)	character 5a
16	G ≤ GL(6,ℤ)	character 3ab
17	G ≤ GL(3a,Field([Sqrt(5)]))	character 3a
18	G ≤ GL(3b,Field([Sqrt(5)]))	character 3b

Programs for G = A₅: (all refer to std. generators 1)

• presentation:
• maxes (all 3):

  1	A4
  2	D10
  3	S3

• std. gen. checker:

  (check)

  (pres)

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