Finite Group DatabasebetaFinite Group Databasebeta| order | 16448 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#22551510 |
| Sylow | C257 ⋊ C2×#101 |
146 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8224 |
2582 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #45664115, C4×#22551510, #45664242, … |
| maximal normal subgroup of | #45664115, C4×#22551510, #45664242, … |
| maximal quotient of | C2×#30656462, #45662643, #45662649, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16448, 528);