GAP Package AtlasRep

AtlasRep Info for Ru

-> ATLAS page for Ru

-> Overview of Groups

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

1	G ≤ Sym(4060)	rank 3, on cosets of 2F4(2)'.2 (1st max.)
2	G ≤ GL(28,2)	character 28a
3	G ≤ GL(376,2)	character 376a
4	G ≤ GL(1246,2)	character 1246a
5	G ≤ GL(406,3)	character 406a
6	G ≤ GL(783,3)	character 783a
7	G ≤ GL(133,5)	character 133a
8	G ≤ GL(273,5)	character 273a
9	G ≤ GL(378,5)	character 378a
10	G ≤ GL(783,5)	character 783a
11	G ≤ GL(406,7)	character 406a
12	G ≤ GL(782,7)	character 782a
13	G ≤ GL(378,9)	character 378b
14	G ≤ GL(378,13)	character 378a
15	G ≤ GL(406,13)	character 406a
16	G ≤ GL(783,13)	character 783a
17	G ≤ GL(378,29)	character 378b
18	G ≤ GL(406,29)	character 406a
19	G ≤ GL(783,29)	character 783a
20	G ≤ GL(378,49)	character 378a

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

• class repres.
• repr. cyc. subg.
• std. gen. checker
• std. gen. finder
• maxes (all 15):

  1	2F4(2)'.2
  2	(26:U3(3)):2
  3	(22 × Sz(8)):3
  4	23+8:L3(2)
  5	U3(5).2
  6	2.24+6:S5
  7	L2(25).22
  8	A8
  9	L2(29)
  10	52:4S5
  11	3.A6.22
  12	51+2:(25)
  13	L2(13).2
  14	A6.22
  15	5:4 × A5

File created automatically by GAP on 22-Jun-2011.