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AtlasRep Info for S₁₀(2)

→ ATLAS page for S₁₀(2)

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Representations for G = S₁₀(2): (all refer to std. generators 1)

1	G ≤ Sym(496)	2-trans., on cosets of O10−(2).2 (1st max.)
2	G ≤ Sym(528)	2-trans., on cosets of O10+(2).2 (2nd max.)
3	G ≤ Sym(992)	rank 4, on cosets of O10−(2) < O10−(2).2
4	G ≤ Sym(1023)	rank 3, on cosets of 29.S8(2) (3rd max.)
5	G ≤ Sym(1056)	rank 4, on cosets of O10+(2) < O10+(2).2
6	G ≤ GL(10,2)
7	G ≤ GL(32,2)
8	G ≤ GL(44,2)
9	G ≤ GL(100,2)
10	G ≤ GL(164,2)
11	G ≤ GL(155,3)
12	G ≤ GL(155,5)
13	G ≤ GL(155,7)
14	G ≤ GL(155,11)
15	G ≤ GL(155,17)
16	G ≤ GL(155,31)
17	G ≤ GL(155,ℤ)
18	G ≤ GL(187,ℤ)
19	G ≤ GL(341,ℤ)

Programs for G = S₁₀(2): (all refer to std. generators 1)

• presentation:
• std. gen. finder:
• std. gen. checker:

  (check)

  (pres)

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