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AtlasRep Info for A₁₅

→ ATLAS page for A₁₅

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Representations for G = A₁₅: (all refer to std. generators 1)

1	G ≤ Sym(15)	13-trans., on cosets of A14 (1st max.)
2	G ≤ Sym(105)	rank 3, on cosets of S13 (2nd max.)
3	G ≤ Sym(455)	rank 4, on cosets of (A12 × 3):2 (3rd max.)
4	G ≤ Sym(1365)	rank 5, on cosets of (A11 × A4):2 (4th max.)
5	G ≤ GL(14,ℤ)
6	G ≤ GL(90,ℤ)
7	G ≤ GL(91,ℤ)
8	G ≤ GL(350,ℤ)
9	G ≤ GL(364,ℤ)

Programs for G = A₁₅: (all refer to std. generators 1)

• std. gen. checker:

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