Finite Group DatabasebetaFinite Group Databasebeta| order | 34650 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C52×C7×C9 · Schur multiplier (H2) = C5 |
| direct product | C52×C7×C9×D11 |
| Fitting, Hall | C52×C7×C9×C11 ⋊ C2 |
| derived, Sylow | C11 ⋊ C2×C52×C7×C9 |
| Hall | C52×C9×C11 ⋊ C2×C7 |
| Hall | C52×C7×C11 ⋊ C2×C9 |
| Hall | C7×C9×C11 ⋊ C2×C52 |
| Hall | C52×C11 ⋊ C2×C7×C9 |
| Hall | C9×C11 ⋊ C2×C52×C7 |
| Hall | C7×C11 ⋊ C2×C52×C9 |
192 conjugacy classes of subgroups.
| transitive degree | μt(G) = 17325 |
11025 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(34650, 176);