GAP Package AtlasRep

AtlasRep Info for 2.M₁₂

→ ATLAS page for 2.M₁₂

→ Overview of Groups

Representations for G = 2.M₁₂: (all refer to std. generators 1)

1	G ≤ Sym(24a)	rank 3, on cosets of M11 < 2 × M11
11	G ≤ GL(6b,3)	character 6b
12	G ≤ GL(12,5)	character 12a
13	G ≤ GL(12,ℤ)	character 12a
14	G ≤ GL(120,ℤ)	character 120b
15	G ≤ GL(220,ℤ)	character 110ab

Programs for G = 2.M₁₂: (all refer to std. generators 1)

• presentation:
• std. gen. checker:
• maxes (all 11):

  1	2 × M11
  2	2 × M11
  3	A6.D8
  4	A6.D8
  5	2.L2(11)
  6	2 × 32.2.S4
  7	2 × 32.2.S4
  8	4Y(2 × A5):2
  9	(2 × Q8).S4
  9	(2 × Q8).S4
  10	2.(42:D12)
  11	2.A4 × S3

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