Finite Group DatabasebetaFinite Group Databasebeta| order | 16448 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C23 |
| direct product | C2×#22551502 |
| Sylow | C257 ⋊ C2×#97 |
146 conjugacy classes of subgroups.
| transitive degree | μt(G) = 16448 |
4136 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #45662399, #45662403, #97×Dic257, … |
| maximal normal subgroup of | #45662399, #45662403, #97×Dic257, … |
| maximal quotient of | C2×#30656458, C2×#30656459, #45662609, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16448, 497);