Finite Group DatabasebetaFinite Group Databasebeta| order | 16448 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24×C4 |
| direct product | C2×#22551551 |
| Sylow | C257 ⋊ C2×#117 |
330 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8224 |
4136 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #45664016, #45664018, C2×#30656493, … |
| maximal normal subgroup of | #45664016, #45664018, C2×#30656493, … |
| maximal quotient of | C2×#30656583, C2×C4×C22⋊Dic257, C2×C4×C4⋊Dic257, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16448, 1005);