Finite Group DatabasebetaFinite Group Databasebeta| order | 30636 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C4×C23 · Schur multiplier (H2) = C1 |
| direct product | C3×C23×Dic111 |
| unambiguous semidirect product | C3⋊(C3×C23×Dic37) |
| derived | C3×C37 ⋊ C3×C4×C23 |
| Hall | C32×C23×C37 ⋊ C4 |
| Hall | C23×C37 ⋊ C3×Dic3 |
| Hall | C32×C37 ⋊ C4×C23 |
| Hall | C32×C23 ⋊ Dic37 |
| Sylow | C37 ⋊ C3×Dic3×C23 |
| Sylow | C32 ⋊ C23×Dic37 |
56 conjugacy classes of subgroups.
| transitive degree | μt(G) = 10212 |
7866 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(30636, 60);