Finite Group DatabasebetaFinite Group Databasebeta| order | 1408 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | Q32×Dic11 |
| Sylow | C11 ⋊ C4×Q32 |
150 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1408 |
154 conjugacy classes — view the full character table.
| maximal subgroup of | #14674349, Dic11×SD64, #14674356, … |
| maximal normal subgroup of | #14674349, Dic11×SD64, #14674356, … |
| maximal quotient of | Q32×C11⋊C8, #14665690, #14665764, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1408, 6369);