Finite Group DatabasebetaFinite Group Databasebeta| order | 16448 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
| direct product | C2×#22551533 |
| Fitting | C2×D8×C257 ⋊ C2 |
| Sylow | C257 ⋊ C2×D16 |
98 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8224 |
1814 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #45666164, C4×#22551533, #45666193, … |
| maximal normal subgroup of | #45666164, C4×#22551533, #45666193, … |
| maximal quotient of | C2×#30656537, C2×#30656538, C2×#30656562, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16448, 969);