Finite Group DatabasebetaFinite Group Databasebeta| order | 30420 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C5×C9 · Schur multiplier (H2) = C2 |
| direct product | C5×C9×D132 |
| Fitting, Hall | C5×C9×C132 ⋊ C22 |
| derived, Sylow | C132 ⋊ C22×C5×C9 |
| Hall | C9×C132 ⋊ C22×C5 |
| Hall | C5×C132 ⋊ C22×C9 |
192 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1170 |
2880 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(30420, 313);