Finite Group DatabasebetaFinite Group Databasebeta| order | 16448 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C23 |
| direct product | C2×#22551521 |
| Sylow | C257 ⋊ C2×C4⋊C8 |
138 conjugacy classes of subgroups.
| transitive degree | μt(G) = 16448 |
4136 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #45662259, #45664168, C4×#22551521, … |
| maximal normal subgroup of | #45662259, #45664168, C4×#22551521, … |
| maximal quotient of | C2×#30656487, C2×#30656489, #45663066, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16448, 569);