GAP Package AtlasRep

AtlasRep Info for Co₂

→ ATLAS page for Co₂

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Representations for G = Co₂: (all refer to std. generators 1)

1	G ≤ Sym(2300)	rank 3, on cosets of U6(2).2 (1st max.)
2	G ≤ Sym(4600)	rank 5, on cosets of U6(2) < U6(2).2
11	G ≤ GL(22,2)	character 22a
12	G ≤ GL(24,2)	character 1a^2+22a
13	G ≤ GL(230,2)	character 230a
14	G ≤ GL(748a,2)	character 748a
15	G ≤ GL(748b,2)	character 748b
16	G ≤ GL(23,3)	character 23a
17	G ≤ GL(253,3)	character 253a
18	G ≤ GL(275,3)	character 275a
19	G ≤ GL(23,5)	character 23a
20	G ≤ GL(253,5)	character 253a
21	G ≤ GL(275,5)	character 275a
22	G ≤ GL(23,7)	character 23a
23	G ≤ GL(253,7)	character 253a
24	G ≤ GL(275,7)	character 275a
25	G ≤ GL(23,11)	character 23a
26	G ≤ GL(253,11)	character 253a
27	G ≤ GL(275,11)	character 275a
28	G ≤ GL(23,23)	character 23a
29	G ≤ GL(253,23)	character 253a
30	G ≤ GL(274,23)	character 274a
31	G ≤ GL(23,ℤ)	character 23a

Programs for G = Co₂: (all refer to std. generators 1)

• class repres.:
• presentation:
• repr. cyc. subg.:
• std. gen. finder:
• maxes (all 11):

  1	U6(2).2
  1	U6(2).2
  1	U6(2).2
  2	210:M22:2
  3	McL
  4	21+8+:S6(2)
  5	HS.2
  5	HS.2
  6	(21+6+ × 24).A8
  7	U4(3).D8
  7	U4(3).D8
  8	2(4+10)(S5 × S3)
  9	M23
  9	M23
  10	31+4+:21+4−.S5
  11	51+2:4S4

• std. gen. checker:

  (check)

  (pres)

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