Finite Group DatabasebetaFinite Group Databasebeta| order | 16448 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#22551523 |
| Sylow | C257 ⋊ C2×#106 |
130 conjugacy classes of subgroups.
| transitive degree | μt(G) = 16448 |
2588 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #45664208, C4×#22551523, #45664216, … |
| maximal normal subgroup of | #45664208, C4×#22551523, #45664216, … |
| maximal quotient of | C2×#30656487, #45663075, #45663090, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16448, 579);