Finite Group DatabasebetaFinite Group Databasebeta| order | 30420 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C9 · Schur multiplier (H2) = C13 |
| direct product | C9×#16809991 |
| derived, Hall | C5×C132 ⋊ C4×C9 |
| Hall | C5×C9×C132 ⋊ C4 |
| Hall | C9×C132 ⋊ Dic5 |
| Sylow | C132 ⋊ C9×Dic5 |
| Hall | C5×C9 ⋊ #10621725 |
| Sylow | C5 ⋊ C9×#10621725 |
288 conjugacy classes of subgroups.
| transitive degree | μt(G) = 30420 |
7632 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(30420, 193);