GAP Package AtlasRep

AtlasRep Info for He.2

→ ATLAS page for He.2

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

1	G ≤ Sym(2058)	rank 4, on cosets of S4(4):4 (2nd max.)
2	G ≤ Sym(8330)	rank 6, on cosets of 22.L3(4).D12 (3rd max.)
5	G ≤ GL(102,2)
6	G ≤ GL(202,2)
7	G ≤ GL(492,2)
8	G ≤ GL(680,2)
9	G ≤ GL(102,3)
10	G ≤ GL(306a,3)
11	G ≤ GL(679,3)
12	G ≤ GL(102,5)
13	G ≤ GL(104a,5)
14	G ≤ GL(306a,5)
15	G ≤ GL(680,5)
16	G ≤ GL(50,7)
17	G ≤ GL(153,7)
18	G ≤ GL(426,7)
19	G ≤ GL(102,17)
20	G ≤ GL(306a,17)
21	G ≤ GL(680,17)

Programs for G = He.2: (all refer to std. generators 1)

• std. gen. checker:
• std. gen. finder:
• maxes (all 12):

  1	He
  2	S4(4).4
  2	S4(4).4
  3	22.L3(4).D12
  3	22.L3(4).D12
  4	21+6+.L3(2).2
  4	21+6+.L3(2).2
  5	72:2.L2(7).2
  6	3.S7 × 2
  6	3.S7 × 2
  7	(S5 × S5):2
  8	24+4.(S3 × S3).2
  9	71+2:(S3 × 6)
  10	S4 × L3(2).2
  10	S4 × L3(2).2
  11	7:6 × L3(2)
  12	52:4S4

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