Finite Group DatabasebetaFinite Group Databasebeta| order | 16448 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C27 |
| direct product | C22×C22⋊Dic257 |
| 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 | #45662542, #45662543, #45662557, … |
| maximal normal subgroup of | #45662542, #45662543, #45662557, … |
| maximal quotient of | C22×#22551499, C2×C4×C22⋊Dic257, C2×#30656593, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16448, 997);