GAP Package AtlasRep

AtlasRep Info for S₆

→ ATLAS page for S₆

→ Overview of Groups

Representations for G = S₆: (all refer to std. generators 1)

1	G ≤ Sym(6a)	6-trans., on cosets of S5 (2nd max.)
2	G ≤ Sym(6b)	6-trans., on cosets of S5 (3rd max.)
3	G ≤ Sym(10)	2-trans., on cosets of 32:D8 (4th max.)
4	G ≤ Sym(15a)	rank 3, on cosets of S4 × 2 (5th max.)
5	G ≤ Sym(15b)	rank 3, on cosets of S4 × 2 (6th max.)

Programs for G = S₆: (all refer to std. generators 1)

• presentation:
• std. gen. checker:
• maxes (all 6):

  1	A6
  2	S5
  3	S5
  4	32:D8
  5	2 × S4
  6	S4 × 2

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