Finite Group DatabasebetaFinite Group Databasebeta| order | 30492 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C7 · Schur multiplier (H2) = C1 |
| direct product | C7×Dic1089 |
| unambiguous semidirect product | C9⋊(C7×Dic121) |
| unambiguous semidirect product | C121⋊(C7×Dic9) |
| derived, Hall | C9×C121 ⋊ C4×C7 |
| Hall | C7×C9×C121 ⋊ C4 |
| Hall | C7×C121 ⋊ Dic9 |
| Sylow | C121 ⋊ C7×Dic9 |
| Hall | C7×C9 ⋊ Dic121 |
| Sylow | C9 ⋊ C7×Dic121 |
54 conjugacy classes of subgroups.
| transitive degree | μt(G) = 30492 |
7644 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(30492, 10);