Finite Group DatabasebetaFinite Group Databasebeta| order | 30492 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C7 · Schur multiplier (H2) = C11 |
| direct product | C7×C9⋊#92150 |
| unambiguous semidirect product | C9⋊(C7×#92150) |
| Fitting, Hall | C7×C9×C112 ⋊ C4 |
| derived, Hall | C9×C112 ⋊ C4×C7 |
| Hall | C7×C112 ⋊ Dic9 |
| Sylow | C112 ⋊ C7×Dic9 |
| Hall | C7×C9 ⋊ #92150 |
| Sylow | C9 ⋊ C7×#92150 |
108 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1386 |
1974 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(30492, 184);