Finite Group DatabasebetaFinite Group Databasebeta| order | 36972 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C4×C13 · Schur multiplier (H2) = C1 |
| direct product | C3×Dic3×C79⋊C13 |
| unambiguous semidirect product | C3⋊(C3×C4×C79⋊C13) |
| unambiguous semidirect product | (C3×Dic3×C79)⋊C13 |
| derived | C3×C79 ⋊ C3×C4×C13 |
| Hall | C32×C79⋊C13 ⋊ C4 |
| Hall | C3×Dic3×C79 ⋊ C13 |
| Hall | C32×C79 ⋊ C4×C13 |
| Sylow | C79 ⋊ C3×Dic3×C13 |
| Sylow | C32 ⋊ C4×C79⋊C13 |
56 conjugacy classes of subgroups.
| transitive degree | μt(G) = 948 |
342 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(36972, 99);