GAP Package AtlasRep

AtlasRep Info for ON

→ ATLAS page for ON

→ Overview of Groups

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

1	G ≤ Sym(122760a)	rank 5, on cosets of L3(7).2 (1st max.)
5	G ≤ GL(154,3)
6	G ≤ GL(495,3)	character 495b
7	G ≤ GL(684,3)	character 342ab
8	G ≤ GL(406,7)
9	G ≤ GL(1618,7)
10	G ≤ GL(342a,9)
11	G ≤ GL(342b,9)
12	G ≤ GL(1869,31)

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

• repr. cyc. subg.:
• std. gen. checker:
• std. gen. finder:
• maxes (all 13):

  1	L3(7).2
  1	L3(7).2
  2	L3(7).2
  2	L3(7).2
  3	J1
  3	J1
  4	42.L3(4).21
  5	(32:4 × A6).2
  6	34:2(1+4)D10
  7	L2(31)
  7	L2(31)
  8	L2(31)
  9	43.L3(2)
  10	M11
  11	M11
  12	A7
  13	A7

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