Finite Group DatabasebetaFinite Group Databasebeta| order | 16448 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
| direct product | C22×#16861603 |
| Fitting | C22×D4×C257 ⋊ C2 |
| Sylow | C257 ⋊ C22×D8 |
338 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8224 |
2588 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #45664665, #45664666, #45664668, … |
| maximal normal subgroup of | #45664665, #45664666, #45664668, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16448, 1318);