GAP Package AtlasRep

AtlasRep Info for A₅

-> ATLAS page for A₅

-> Overview of Groups

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)
5	G ≤ GL(4b,2)
6	G ≤ GL(4,3)
7	G ≤ GL(6,3)
8	G ≤ GL(2a,4)
9	G ≤ GL(2b,4)
10	G ≤ GL(3,5)
11	G ≤ GL(5,5)
12	G ≤ GL(3a,9)
13	G ≤ GL(3b,9)
14	G ≤ GL(4,ℤ)
15	G ≤ GL(5,ℤ)
16	G ≤ GL(6,ℤ)
17	G ≤ GL(3a,Field([Sqrt(5)]))
18	G ≤ GL(3b,Field([Sqrt(5)]))

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

• presentation
• std. gen. checker
• maxes (all 3):

  1	A4
  2	D10
  3	S3

File created automatically by GAP on 22-Jun-2011.