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AtlasRep Info for L₂(32)

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Representations for G = L₂(32): (all refer to std. generators 1)

1	G ≤ Sym(33)	3-trans., on cosets of 25:31 (1st max.)
2	G ≤ Sym(496)	rank 16, on cosets of D66 (2nd max.)
3	G ≤ Sym(528)	rank 17, on cosets of D62 (3rd max.)
4	G ≤ GL(31a,3)	character 31a
5	G ≤ GL(31b,11)	character 31b
6	G ≤ GL(32,31)	character 32a
7	G ≤ GL(2a,32)	character 2a
8	G ≤ GL(31a,ℤ)	character 31a
9	G ≤ GL(32,ℤ)	character 32a
10	G ≤ GL(155,ℤ)	character 31bcdef
11	G ≤ GL(310,ℤ)	character 31ghijklmnop
12	G ≤ GL(33a,Field([E(31)]))	character 33a
13	G ≤ GL(33b,Field([E(31)]))	character 33b
14	G ≤ GL(33c,Field([E(31)]))	character 33c
15	G ≤ GL(33d,Field([E(31)]))	character 33d
16	G ≤ GL(33e,Field([E(31)]))	character 33e
17	G ≤ GL(33f,Field([E(31)]))	character 33f
18	G ≤ GL(33g,Field([E(31)]))	character 33g
19	G ≤ GL(33h,Field([E(31)]))	character 33h
20	G ≤ GL(33i,Field([E(31)]))	character 33i
21	G ≤ GL(33j,Field([E(31)]))	character 33j
22	G ≤ GL(33k,Field([E(31)]))	character 33k
23	G ≤ GL(33l,Field([E(31)]))	character 33l
24	G ≤ GL(33m,Field([E(31)]))	character 33m
25	G ≤ GL(33n,Field([E(31)]))	character 33n
26	G ≤ GL(33o,Field([E(31)]))	character 33o

Programs for G = L₂(32): (all refer to std. generators 1)

• class repres.:
• presentation:
• repr. cyc. subg.:
• automorphisms:

  5

• maxes (all 3):

  1
  1
  2
  3	D62

• std. gen. checker:

  (check)

  (pres)

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