Finite Group DatabasebetaFinite Group Databasebeta| order | 36252 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C53 · Schur multiplier (H2) = C1 |
| direct product | C53×Dic171 |
| unambiguous semidirect product | C9⋊(C53×Dic19) |
| unambiguous semidirect product | C19⋊(Dic9×C53) |
| derived, Hall | C9×C19 ⋊ C4×C53 |
| Hall | C9×C19×C53 ⋊ C4 |
| Hall | C19×C53 ⋊ Dic9 |
| Hall | C9×C53 ⋊ Dic19 |
| Sylow | C19 ⋊ Dic9×C53 |
| Sylow | C9 ⋊ C53×Dic19 |
36 conjugacy classes of subgroups.
| transitive degree | μt(G) = 36252 |
9222 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(36252, 8);