Finite Group DatabasebetaFinite Group Databasebeta| order | 32148 |
| automorphism | ? |
| homology | Abelianization (H1) = C32×C4 · Schur multiplier (H2) = C3 |
| direct product | C3×C19⋊C3×Dic47 |
| unambiguous semidirect product | C47⋊(C3×C4×C19⋊C3) |
| unambiguous semidirect product | (C19×Dic47)⋊C32 |
| unambiguous semidirect product | (C3×C19×Dic47)⋊C3 |
| derived, Hall | C19×C47 ⋊ C32×C4 |
| Hall | C3×C47×C19⋊C3 ⋊ C4 |
| Hall | C19×Dic47 ⋊ C32 |
| Sylow | C47 ⋊ C3×C4×C19⋊C3 |
| Sylow | C19 ⋊ C32×Dic47 |
72 conjugacy classes of subgroups.
| transitive degree | μt(G) = 10716 |
1350 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(32148, 42);