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AtlasRep Info for L₃(5)

→ ATLAS page for L₃(5)

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Representations for G = L₃(5): (all refer to std. generators 1)

1	G ≤ Sym(31a)	2-trans., on cosets of 52:GL2(5) (1st max.)
2	G ≤ Sym(31b)	2-trans., on cosets of 52:GL2(5) (2nd max.)
3	G ≤ GL(3a,5)
4	G ≤ GL(3b,5)
5	G ≤ GL(8,5)
6	G ≤ GL(30,ℤ)
7	G ≤ GL(31a,ℤ)
8	G ≤ GL(124a,ℤ)
9	G ≤ GL(124b,ℤ)
10	G ≤ GL(125,ℤ)
11	G ≤ GL(155a,ℤ)
12	G ≤ GL(186,ℤ)
13	G ≤ GL(31b,Field([Sqrt(-1)]))
14	G ≤ GL(31c,Field([Sqrt(-1)]))
15	G ≤ GL(124c,Field([Sqrt(-1)]))
16	G ≤ GL(124d,Field([Sqrt(-1)]))
17	G ≤ GL(124e,Field([Sqrt(-1)]))
18	G ≤ GL(124f,Field([Sqrt(-1)]))
19	G ≤ GL(124g,Field([E(24)]))
20	G ≤ GL(124h,Field([E(24)]))
21	G ≤ GL(124i,Field([E(24)]))
22	G ≤ GL(124j,Field([E(24)]))
23	G ≤ GL(155b,Field([Sqrt(-1)]))
24	G ≤ GL(155c,Field([Sqrt(-1)]))

Programs for G = L₃(5):

• presentation:
• restandardizations:

  1 -> 2

  2 -> 1

• std. gen. checker:

  (check)

  (pres)

  (pres)

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