Finite Group DatabasebetaFinite Group Databasebeta| order | 30420 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C13 · Schur multiplier (H2) = C1 |
| direct product | C13×Dic585 |
| unambiguous semidirect product | C9⋊(C13×Dic65) |
| derived | C5×C9×C13 ⋊ C4×C13 |
| Hall | C5×C9×C132 ⋊ C4 |
| Hall | C9×C132 ⋊ Dic5 |
| Hall | C5×C132 ⋊ Dic9 |
| Sylow | C132 ⋊ Dic45 |
| Hall | C5×C9 ⋊ C13×Dic13 |
| Sylow | C9 ⋊ C13×Dic65 |
| Sylow | C5 ⋊ C13×Dic117 |
144 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2340 |
7644 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(30420, 198);