GAP Package AtlasRep

AtlasRep Info for S12

→ ATLAS page for S12
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Representations for G = S12: (all refer to std. generators 1)
1 G ≤ Sym(12) 12-trans., on cosets of S11 (2nd max.)
2 G ≤ Sym(66) rank 3, on cosets of S10 × 2 (3rd max.)
3 G ≤ Sym(220) rank 4, on cosets of S9 × S3 (4th max.)
4 G ≤ Sym(462) rank 4, on cosets of (S6 × S6):2 (5th max.)
5 G ≤ Sym(495) rank 5, on cosets of S8 × S4 (6th max.)
6 G ≤ Sym(792) rank 6, on cosets of S7 × S5 (7th max.)
7 G ≤ Sym(5040) rank 8, on cosets of M12 < A12
8 G ≤ Sym(5775) rank 9, on cosets of S4 ≀ S3 (8th max.)
9 G ≤ Sym(10395) rank 11, on cosets of 26:S6 (9th max.)
10 G ≤ Sym(15400) rank 12, on cosets of S4 ≀ S3 (10th max.)

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