Finite Group DatabasebetaFinite Group Databasebeta| order | 36972 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C4×C13 · Schur multiplier (H2) = C1 |
| direct product | C3×C13×Dic237 |
| unambiguous semidirect product | C3⋊(C3×C13×Dic79) |
| derived | C3×C79 ⋊ C3×C4×C13 |
| Hall | C32×C13×C79 ⋊ C4 |
| Hall | C13×C79 ⋊ C3×Dic3 |
| Hall | C32×C79 ⋊ C4×C13 |
| Hall | C32×C13 ⋊ Dic79 |
| Sylow | C79 ⋊ C3×Dic3×C13 |
| Sylow | C32 ⋊ C13×Dic79 |
56 conjugacy classes of subgroups.
| transitive degree | μt(G) = 12324 |
9360 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(36972, 145);