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AtlasRep Info for U₃(4).4

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Representations for G = U₃(4).4: (all refer to std. generators 1)

1	G ≤ Sym(65)	2-trans., on cosets of 22+4:(3 × D10).2 (2nd max.)
2	G ≤ Sym(208)	rank 4, on cosets of (D10 × A5).2 (3rd max.)
3	G ≤ Sym(416)	rank 5, on cosets of 52:(4 × S3) (4th max.)
4	G ≤ Sym(1600)	rank 15, on cosets of 13:12 (5th max.)
5	G ≤ GL(12,2)
6	G ≤ GL(16,2)
7	G ≤ GL(36,2)
8	G ≤ GL(64,2)
9	G ≤ GL(96,2)
10	G ≤ GL(24a,3)
11	G ≤ GL(52,3)
12	G ≤ GL(64a,3)
13	G ≤ GL(78a,3)
14	G ≤ GL(208,3)
15	G ≤ GL(300,3)
16	G ≤ GL(12a,5)
17	G ≤ GL(39a,5)
18	G ≤ GL(65a,5)
19	G ≤ GL(300,5)
20	G ≤ GL(12a,9)
21	G ≤ GL(12a,13)
22	G ≤ GL(52,13)
23	G ≤ GL(63a,13)
24	G ≤ GL(65a,13)
25	G ≤ GL(78a,13)
26	G ≤ GL(208,13)
27	G ≤ GL(260,13)

Programs for G = U₃(4).4: (all refer to std. generators 1)

• presentation:
• std. gen. checker:
• maxes:

  1	U3(4).2
  2
  3
  4
  5

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