Finite Group DatabasebetaFinite Group Databasebeta| order | 16448 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×Dic2056 |
| Sylow | C257 ⋊ C2×Q32 |
82 conjugacy classes of subgroups.
| transitive degree | μt(G) = 16448 |
4118 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #45662500, #45662502, #45662512, … |
| maximal normal subgroup of | #45662500, #45662502, #45662512, … |
| maximal quotient of | C2×#30656542, C2×#30656563, C4×Dic2056, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16448, 977);