Finite Group DatabasebetaFinite Group Databasebeta| order | 32412 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C4×C73 · Schur multiplier (H2) = C1 |
| direct product | C4×C73×C37⋊C3 |
| unambiguous semidirect product | (C4×C37)⋊(C3×C73) |
| Fitting, Hall | C4×C37×C73 ⋊ C3 |
| derived, Sylow | C37 ⋊ C3×C4×C73 |
| Hall | C37×C73 ⋊ C3×C4 |
| Hall | C4×C37 ⋊ C3×C73 |
24 conjugacy classes of subgroups.
| transitive degree | μt(G) = 10804 |
4380 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(32412, 3);