GAP Package AtlasRep

AtlasRep Info for Ru

→ ATLAS page for Ru

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

1	G ≤ Sym(4060)	rank 3, on cosets of 2F4(2)'.2 (1st max.)
4	G ≤ GL(28,2)	character 28a
5	G ≤ GL(376,2)	character 376a
6	G ≤ GL(1246,2)	character 1246a
7	G ≤ GL(406,3)	character 406a
8	G ≤ GL(783,3)	character 783a
9	G ≤ GL(133,5)	character 133a
10	G ≤ GL(273,5)	character 273a
11	G ≤ GL(378,5)	character 378a
12	G ≤ GL(783,5)	character 783a
13	G ≤ GL(406,7)	character 406a
14	G ≤ GL(782,7)	character 782a
15	G ≤ GL(378,9)	character 378b
16	G ≤ GL(378,13)	character 378a
17	G ≤ GL(406,13)	character 406a
18	G ≤ GL(783,13)	character 783a
19	G ≤ GL(378,29)	character 378b
20	G ≤ GL(406,29)	character 406a
21	G ≤ GL(783,29)	character 783a
22	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
  1	2F4(2)'.2
  2	(26:U3(3)):2
  2	(26:U3(3)):2
  3	(22 × Sz(8)):3
  3	(22 × Sz(8)):3
  4	23+8:L3(2)
  4	23+8:L3(2)
  5	U3(5).2
  5	U3(5).2
  6	2.24+6:S5
  6	2.24+6:S5
  7	L2(25).22
  7	L2(25).22
  8	A8
  8	A8
  9	L2(29)
  9	L2(29)
  9	L2(29)
  9	L2(29)
  10	52:4S5
  10	52:4S5
  11	3.A6.22
  11	3.A6.22
  12	51+2:(25)
  12	51+2:(25)
  13	L2(13).2
  13	L2(13).2
  14	A6.22
  14	A6.22
  15	5:4 × A5
  15	5:4 × A5
  15	5:4 × A5

• standardizations of maxes:

  from 9th max., version 2 to L2(29), std. 1

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