Finite Group DatabasebetaFinite Group Databasebeta| order | 30492 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C7×C9 · Schur multiplier (H2) = C2 |
| direct product | C7×C9×D112 |
| unambiguous semidirect product | (C11×D11)⋊(C2×C7×C9) |
| Fitting, Hall | C7×C9×C112 ⋊ C22 |
| derived, Sylow | C112 ⋊ C22×C7×C9 |
| Hall | C9×C112 ⋊ C22×C7 |
| Hall | C7×C112 ⋊ C22×C9 |
180 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1386 |
3087 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(30492, 173);