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AtlasRep Info for L₂(11).2

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Representations for G = L₂(11).2: (all refer to std. generators 1)

1	G ≤ Sym(12)	3-trans., on cosets of 11:10 (2nd max.)
2	G ≤ Sym(22)	rank 4, on cosets of A5 < L2(11)
3	G ≤ Sym(55a)	rank 6, on cosets of D24 (3rd max.)
4	G ≤ Sym(55b)	rank 6, on cosets of S4 (4th max.)
5	G ≤ Sym(66)	rank 7, on cosets of D20 (5th max.)
6	G ≤ GL(10a,2)
7	G ≤ GL(10b,2)
8	G ≤ GL(12a,4)
9	G ≤ GL(12b,4)
10	G ≤ GL(3,11)
11	G ≤ GL(5,11)
12	G ≤ GL(7,11)
13	G ≤ GL(9,11)
14	G ≤ GL(11,11)

Programs for G = L₂(11).2: (all refer to std. generators 1)

• class repres.:
• presentation:
• repr. cyc. subg.:
• maxes (all 5):

  1	L2(11)
  2	11:10
  3	S4
  4	D24
  5	D20

• std. gen. checker:

  (check)

  (pres)

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