GAP Package AtlasRep

AtlasRep Info for S₅

→ ATLAS page for S₅

→ Overview of Groups

Representations for G = S₅: (all refer to std. generators 1)

1	G ≤ Sym(5)	5-trans., on cosets of S4 (2nd max.)
2	G ≤ Sym(6)	3-trans., on cosets of 5:4 (3rd max.)
3	G ≤ Sym(10)	rank 3, on cosets of S3 × 2 (4th max.)
4	G ≤ GL(4a,2)
5	G ≤ GL(4b,2)
6	G ≤ GL(4,3)
7	G ≤ GL(6,3)
8	G ≤ GL(3,5)
9	G ≤ GL(5,5)

Programs for G = S₅: (all refer to std. generators 1)

• presentation:
• std. gen. checker:
• maxes (all 4):

  1	A5
  2	S4
  3	5:4
  4	S3 × 2

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