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AtlasRep Info for A₁₈

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Representations for G = A₁₈: (all refer to std. generators 1)

1	G ≤ Sym(18)	16-trans., on cosets of A17 (1st max.)
2	G ≤ Sym(153)	rank 3, on cosets of S16 (2nd max.)
3	G ≤ Sym(816)	rank 4, on cosets of (A15 × 3):2 (3rd max.)
4	G ≤ Sym(3060)	rank 5, on cosets of (A14 × A4):2 (4th max.)
5	G ≤ GL(17,ℤ)
6	G ≤ GL(135,ℤ)
7	G ≤ GL(136,ℤ)

Programs for G = A₁₈: (all refer to std. generators 1)

• std. gen. checker:

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