GAP Package AtlasRep

AtlasRep Info for 2.Ru

→ ATLAS page for 2.Ru

→ Overview of Groups

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

1	G ≤ Sym(16240)	rank 9, on cosets of 2F4(2)' < Isoclinic(2F4(2)'.2 × 2)
2	G ≤ GL(56,3)
3	G ≤ GL(28,5)
4	G ≤ GL(912,5)
5	G ≤ GL(56,7)
6	G ≤ GL(28,9)
7	G ≤ GL(28,13)
8	G ≤ GL(28,29)
9	G ≤ GL(28,49)

Programs for G = 2.Ru:

• maxes (all 15):

  1	(2 × 2F4(2)').2
  1	(2 × 2F4(2)').2
  2	2.26:u3(3):2
  2	2.26:u3(3):2
  3	2.(22 × Sz(8)):3
  3	2.(22 × Sz(8)):3
  4	2.23+8:L3(2)
  4	2.23+8:L3(2)
  5	2 × U3(5).2
  5	2 × U3(5).2
  6	2.2.24+6:S5
  6	2.2.24+6:S5
  7	L2(25).(2 × 4)
  7	L2(25).(2 × 4)
  8	2 × A8
  8	2 × A8
  9	2.L2(29)
  9	2.L2(29)
  9	2.L2(29)
  10	2 × 52:4S5
  10	2 × 52:4S5
  11	3.A6.(2 × 4)
  11	3.A6.(2 × 4)
  12	51+2:(4 × 4):4
  12	51+2:(4 × 4):4
  13	Isoclinic(L2(13).2 × 2)
  13	Isoclinic(L2(13).2 × 2)
  14	A6.D8
  14	A6.D8
  15	5:4 × 2.A5
  15	5:4 × 2.A5
  15	5:4 × 2.A5

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