GAP Package AtlasRep

AtlasRep Info for Suz

→ ATLAS page for Suz

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

1	G ≤ Sym(1782)	rank 3, on cosets of G2(4) (1st max.)
2	G ≤ Sym(22880)	rank 5, on cosets of 32.U4(3).23' (2nd max.)
3	G ≤ Sym(32760)	rank 6, on cosets of U5(2) (3rd max.)
5	G ≤ Sym(135135)	rank 9, on cosets of 21+6−.U4(2) (4th max.)
6	G ≤ Sym(232960)	rank 13, on cosets of 35:M11 (5th max.)
7	G ≤ Sym(370656)	rank 15, on cosets of J2:2 (6th max.)
8	G ≤ Sym(405405)	rank 13, on cosets of 24+6:3A6 (7th max.)
9	G ≤ GL(142,2)	character 142a
10	G ≤ GL(638,2)	character 638a
11	G ≤ GL(64,3)	character 64a
12	G ≤ GL(78,3)	character 78a
13	G ≤ GL(286,3)	character 286a
14	G ≤ GL(429,3)	character 429a
15	G ≤ GL(649,3)	character 649a
16	G ≤ GL(110a,4)
17	G ≤ GL(572a,4)
18	G ≤ GL(572b,4)
19	G ≤ GL(143,5)	character 143a
20	G ≤ GL(363,5)	character 363a
21	G ≤ GL(780,5)	character 780a
22	G ≤ GL(143,7)	character 143a
23	G ≤ GL(364,7)	character 364a
24	G ≤ GL(780,7)	character 780a
25	G ≤ GL(143,11)	character 143a
26	G ≤ GL(364,11)	character 364a
27	G ≤ GL(779,11)	character 779a
28	G ≤ GL(143,13)	character 143a
29	G ≤ GL(364,13)	character 364a
30	G ≤ GL(780,13)	character 780a
31	G ≤ GL(143,ℤ)	character 143a

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

• repr. cyc. subg.:
• std. gen. checker:
• std. gen. finder:
• automorphisms:

  2

  2

• maxes (all 17):

  1	G2(4)
  2	32.U4(3).23'
  3	U5(2)
  4	21+6−.U4(2)
  5	35:M11
  6	J2.2
  6	J2.2
  7	24+6:3A6
  8	(A4 × L3(4)):21
  9	22+8:(A5 × S3)
  10	M12.2
  11	32+4:2(A4 × 22).2
  12	(A6 × A5).2
  13	(32:4 × A6).2
  14	L3(3).2
  15	L3(3).2
  16	L2(25)
  17	A7

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