GAP Package AtlasRep

AtlasRep Info for M^cL.2

→ ATLAS page for M^cL.2

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Representations for G = M^cL.2: (all refer to std. generators 1)

1	G ≤ Sym(275)	rank 3, on cosets of U4(3).23 (2nd max.)
3	G ≤ Sym(4050)	rank 8, on cosets of M22 < McL
4	G ≤ Sym(7128)	rank 5, on cosets of U3(5).2 (3rd max.)
7	G ≤ Sym(22275a)	rank 11, on cosets of L3(4).22 (6th max.)
11	G ≤ Sym(44550)	rank 26, on cosets of 24:A7 < McL
13	G ≤ GL(22,2)
14	G ≤ GL(230a,2)
15	G ≤ GL(1496a,2)
16	G ≤ GL(21a,3)
17	G ≤ GL(104a,3)
18	G ≤ GL(104b,3)
19	G ≤ GL(210a,3)
20	G ≤ GL(560a,3)
21	G ≤ GL(21a,5)
22	G ≤ GL(210a,5)
23	G ≤ GL(230a,5)
24	G ≤ GL(560a,5)
25	G ≤ GL(896a,5)
26	G ≤ GL(896b,5)
27	G ≤ GL(22a,7)
28	G ≤ GL(231a,7)
29	G ≤ GL(252a,7)
30	G ≤ GL(22a,11)
31	G ≤ GL(231a,11)
32	G ≤ GL(251a,11)
33	G ≤ GL(896a,11)
34	G ≤ GL(896a,49)

Programs for G = M^cL.2: (all refer to std. generators 1)

• presentation:
• repr. cyc. subg.:
• std. gen. finder:
• maxes (all 10):

  1	McL
  1	McL
  2	U4(3).23
  3	U3(5).2
  4	31+4:4S5
  5	34:(M10 × 2)
  6	L3(4).22
  7	Isoclinic(2.A8.2)
  7	Isoclinic(2.A8.2)
  8	2 × M11
  8	2 × M11
  9	51+2:(24:2)
  10	22+4:(S3 × S3)

• std. gen. checker:

  (check)

  (pres)

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