Finite Group DatabasebetaFinite Group Databasebeta| order | 1408 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24 |
| direct product | C2×#10622314 |
| Sylow | C11 ⋊ C2×#446 |
400 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1408 |
256 conjugacy classes — view the full character table.
| maximal subgroup of | #14672310, #14752384, #14752385, … |
| maximal normal subgroup of | #14672310, #14752384, #14752385, … |
| maximal quotient of | C2×#13068488, C2×#13068492, C2×#13068484, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1408, 13435);