Finite Group DatabasebetaFinite Group Databasebeta| order | 36090 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C5×C9 · Schur multiplier (H2) = C1 |
| direct product | C5×C9×D401 |
| Fitting, Hall | C5×C9×C401 ⋊ C2 |
| derived, Sylow | C401 ⋊ C2×C5×C9 |
| Hall | C9×C401 ⋊ C2×C5 |
| Hall | C5×C401 ⋊ C2×C9 |
24 conjugacy classes of subgroups.
| transitive degree | μt(G) = 18045 |
9090 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(36090, 3);