GAP Package AtlasRep

AtlasRep Info for Th

→ ATLAS page for Th

→ Overview of Groups

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

1	G ≤ GL(248,2)
2	G ≤ GL(248,3)
3	G ≤ GL(3875,3)
4	G ≤ GL(248,5)
5	G ≤ GL(248,7)
6	G ≤ GL(248,13)	character 248a
7	G ≤ GL(248,19)
8	G ≤ GL(248,31)

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

• repr. cyc. subg.:
• std. gen. checker:
• std. gen. finder:
• maxes (all 16):

  1	3D4(2).3
  1	3D4(2).3
  2	25.L5(2)
  2	25.L5(2)
  3	21+8+.A9
  4	U3(8).6
  4	U3(8).6
  5	(3 × G2(3)):2
  6	[39].2S4
  7	32.[37].2S4
  8	35:2S6
  9	51+2:4S4
  10	52:4S5
  11	72:(3 × 2S4)
  12	L2(19).2
  12	L2(19).2
  13	L3(3)
  14	A6.23
  14	A6.23
  14	A6.23
  15	31:15
  15	31:15
  16	S5

• standardizations of maxes:

  from 14th max., version 1 to A6.2_3, std. 1

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