GAP Package AtlasRep

AtlasRep Info for A₇

→ ATLAS page for A₇

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Representations for G = A₇: (all refer to std. generators 1)

1	G ≤ Sym(7)	5-trans., on cosets of A6 (1st max.)
2	G ≤ GL(4a,2)
3	G ≤ GL(4b,2)
4	G ≤ GL(6,2)
5	G ≤ GL(14,2)
6	G ≤ GL(20,2)
7	G ≤ GL(6,3)
8	G ≤ GL(13,3)
9	G ≤ GL(15,3)
10	G ≤ GL(20,3)
11	G ≤ GL(6,5)
12	G ≤ GL(8,5)
13	G ≤ GL(13,5)
14	G ≤ GL(15,5)
15	G ≤ GL(20,5)
16	G ≤ GL(35,5)
17	G ≤ GL(5,7)
18	G ≤ GL(10,7)
19	G ≤ GL(14a,7)
20	G ≤ GL(14b,7)
21	G ≤ GL(21,7)
22	G ≤ GL(35,7)
23	G ≤ GL(10a,9)
24	G ≤ GL(10b,9)
25	G ≤ GL(10a,25)
26	G ≤ GL(10b,25)
27	G ≤ GL(6,ℤ)
28	G ≤ GL(14a,ℤ)
29	G ≤ GL(14b,ℤ)
30	G ≤ GL(15,ℤ)
31	G ≤ GL(20,ℤ)
32	G ≤ GL(21,ℤ)
33	G ≤ GL(35,ℤ)

Programs for G = A₇: (all refer to std. generators 1)

• std. gen. checker:
• maxes (2 out of 5):

  1	A6
  2	L3(2)

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