Finite Group DatabasebetaFinite Group Databasebeta| order | 16448 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#22551535 |
| Fitting | C2×Q16×C257 ⋊ C2 |
| Sylow | C257 ⋊ C2×SD32 |
90 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8224 |
1814 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #45666169, C4×#22551535, #45666182, … |
| maximal normal subgroup of | #45666169, C4×#22551535, #45666182, … |
| maximal quotient of | C2×#30656537, C2×#30656541, C2×#30656564, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16448, 972);