Finite Group DatabasebetaFinite Group Databasebeta| order | 16448 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#22551516 |
| Sylow | C257 ⋊ C2×#103 |
162 conjugacy classes of subgroups.
| transitive degree | μt(G) = 16448 |
2588 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C4×#22551516, #103×Dic257, #45664150, … |
| maximal normal subgroup of | C4×#22551516, #103×Dic257, #45664150, … |
| maximal quotient of | C2×Q8⋊#14523339, #45662723, #45662749, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16448, 540);