Finite Group DatabasebetaFinite Group Databasebeta| order | 16448 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C2×Q16×D257 |
| Fitting | C2×Q16×C257 ⋊ C2 |
| Sylow | C257 ⋊ C22×Q16 |
258 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8224 |
1820 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #358×D257, #45666038, #362×D257, … |
| maximal normal subgroup of | #358×D257, #45666038, #362×D257, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16448, 1324);