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AtlasRep Info for A₁₆

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Representations for G = A₁₆: (all refer to std. generators 1)

1	G ≤ Sym(16)	14-trans., on cosets of A15 (1st max.)
2	G ≤ Sym(120)	rank 3, on cosets of S14 (2nd max.)
3	G ≤ Sym(560)	rank 4, on cosets of (A13 × 3):2 (3rd max.)
4	G ≤ Sym(1820)	rank 5, on cosets of (A12 × A4):2 (4th max.)
5	G ≤ GL(15,ℤ)
6	G ≤ GL(104,ℤ)
7	G ≤ GL(105,ℤ)
8	G ≤ GL(440,ℤ)
9	G ≤ GL(455,ℤ)

Programs for G = A₁₆: (all refer to std. generators 1)

• std. gen. checker:

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