Finite Group DatabasebetaFinite Group Databasebeta| order | 36252 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C9 · Schur multiplier (H2) = C2 |
| direct product | C2×C9×D1007 |
| unambiguous semidirect product | (C2×C53)⋊(C9×D19) |
| Fitting | C2×C9×C19×C53 ⋊ C2 |
| derived, Hall | C19×C53 ⋊ C22×C9 |
| Hall | C9×C19×C53 ⋊ C22 |
| Hall | C9×C53 ⋊ C2×D19 |
| Hall | C9×C19 ⋊ C2×D53 |
| Sylow | C53 ⋊ C2×C9×D19 |
| Sylow | C19 ⋊ C2×C9×D53 |
60 conjugacy classes of subgroups.
| transitive degree | μt(G) = 18126 |
9090 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(36252, 38);