Finite Group DatabasebetaFinite Group Databasebeta| order | 1408 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C16 · Schur multiplier (H2) = C22 |
| direct product | Q8×C11⋊C16 |
| Sylow | C11 ⋊ Q8×C16 |
134 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1408 |
280 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #14665536, SD16×C11⋊C16, #14665550, … |
| maximal normal subgroup of | #14665536, SD16×C11⋊C16, #14665550, … |
| maximal quotient of | C4⋊C4×C11⋊C16, #14671390, #14671774, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1408, 6414);