Finite Group DatabasebetaFinite Group Databasebeta| order | 14464 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C32 · Schur multiplier (H2) = C23 |
| direct product | C2×#20299727 |
| derived, Sylow | C113 ⋊ C22×C32 |
120 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7232 |
184 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14464, 21802);