Finite Group DatabasebetaFinite Group Databasebeta| order | 16448 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#22551537 |
| Fitting | C2×C16×C257 ⋊ C2 |
| Sylow | C257 ⋊ C2×SD32 |
90 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8224 |
4118 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #45666171, C4×#22551537, #45666183, … |
| maximal normal subgroup of | #45666171, C4×#22551537, #45666183, … |
| maximal quotient of | C2×#30656539, C2×#30656542, C2×#30656565, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16448, 974);