Finite Group DatabasebetaFinite Group Databasebeta| order | 16448 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C27 |
| direct product | C22×#16861595 |
| Fitting | C23×C4×C257 ⋊ C2 |
| Sylow | C257 ⋊ C22×C22⋊C4 |
674 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8224 |
4136 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #45662541, #45662556, #45662558, … |
| maximal normal subgroup of | #45662541, #45662556, #45662558, … |
| maximal quotient of | C22×#22551499, C2×C4×#16861595, C2×#30656592, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16448, 996);