Finite Group DatabasebetaFinite Group Databasebeta| order | 1408 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24×C4 |
| direct product | C2×#10622266 |
| Sylow | C11 ⋊ C2×#387 |
712 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1408 |
256 conjugacy classes — view the full character table.
| maximal subgroup of | #14649158, #14649178, #14674947, … |
| maximal normal subgroup of | #14649158, #14649178, #14674947, … |
| maximal quotient of | C2×#13066840, C2×#13066850, C2×#13066851, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1408, 6935);