Finite Group DatabasebetaFinite Group Databasebeta| order | 16448 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
| direct product | C2×#22551586 |
| Fitting | C2×C42×C257 ⋊ C2 |
| Sylow | C257 ⋊ C2×#126 |
246 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8224 |
4124 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #45662687, #45662690, #45666868, … |
| maximal normal subgroup of | #45662687, #45662690, #45666868, … |
| maximal quotient of | C2×#30656605, C2×#30656621, C2×#30656628, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16448, 1074);