Finite Group DatabasebetaFinite Group Databasebeta| order | 32193 |
| automorphism | ? |
| homology | Abelianization (H1) = C32×C49 · Schur multiplier (H2) = C3 |
| direct product | C3×C49×C73⋊C3 |
| unambiguous semidirect product | C73⋊(C32×C49) |
| unambiguous semidirect product | (C3×C73)⋊(C3×C49) |
| Fitting | C3×C49×C73 ⋊ C3 |
| derived, Sylow | C73 ⋊ C32×C49 |
| Hall | C49×C73 ⋊ C32 |
36 conjugacy classes of subgroups.
| transitive degree | μt(G) = 10731 |
3969 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(32193, 14);