Finite Group DatabasebetaFinite Group Databasebeta| order | 16448 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#22551536 |
| Sylow | C257 ⋊ C2×SD32 |
90 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8224 |
1814 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C4×#22551536, #45666175, #45666181, … |
| maximal normal subgroup of | C4×#22551536, #45666175, #45666181, … |
| maximal quotient of | C2×#30656538, C2×#30656540, C2×#30656564, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16448, 973);