Finite Group DatabasebetaFinite Group Databasebeta| order | 16448 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#22551538 |
| Sylow | C257 ⋊ C2×Q32 |
82 conjugacy classes of subgroups.
| transitive degree | μt(G) = 16448 |
1814 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #45666176, C4×#22551538, #45666188, … |
| maximal normal subgroup of | #45666176, C4×#22551538, #45666188, … |
| maximal quotient of | C2×#30656540, C2×#30656541, C2×#30656562, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16448, 976);