GAP Package AtlasRep

AtlasRep Info for U₃(5).2

→ ATLAS page for U₃(5).2

→ Overview of Groups

Representations for G = U₃(5).2: (all refer to std. generators 1)

1	G ≤ Sym(50)	rank 3, on cosets of S7 (2nd max.)
2	G ≤ Sym(126)	2-trans., on cosets of 51+2+:8:2 (3rd max.)
3	G ≤ Sym(175)	rank 4, on cosets of A6.22 (4th max.)
4	G ≤ Sym(525)	rank 7, on cosets of 2S5.2 (5th max.)
5	G ≤ Sym(750)	rank 9, on cosets of L2(7).2 (6th max.)
6	G ≤ GL(20,2)
7	G ≤ GL(28,2)
8	G ≤ GL(56,2)
9	G ≤ GL(104,2)
10	G ≤ GL(288,2)
11	G ≤ GL(20a,3)
12	G ≤ GL(21a,3)
13	G ≤ GL(28a,3)
14	G ≤ GL(56,3)
15	G ≤ GL(84a,3)
16	G ≤ GL(126a,3)
17	G ≤ GL(252,3)
18	G ≤ GL(288,3)
19	G ≤ GL(8a,5)
20	G ≤ GL(19a,5)
21	G ≤ GL(20,5)
22	G ≤ GL(63a,5)
23	G ≤ GL(70,5)
24	G ≤ GL(125a,5)
25	G ≤ GL(20a,7)
26	G ≤ GL(21a,7)
27	G ≤ GL(28a,7)
28	G ≤ GL(56,7)
29	G ≤ GL(84a,7)
30	G ≤ GL(105a,7)
31	G ≤ GL(124a,7)
32	G ≤ GL(126a,7)
33	G ≤ GL(252,7)

Programs for G = U₃(5).2: (all refer to std. generators 1)

• presentation:
• std. gen. checker:
• maxes (5 out of 6):

  2	S7
  2	S7
  3	51+2+:8:2
  4	A6.22
  5	2S5.2
  6	L3(2).2

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