Finite Group DatabasebetaFinite Group Databasebeta| order | 34254 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C9×C173 · Schur multiplier (H2) = C1 |
| direct product | C9×D11×C173 |
| unambiguous semidirect product | C11⋊(C2×C9×C173) |
| Fitting, Hall | C9×C11×C173 ⋊ C2 |
| derived, Sylow | C11 ⋊ C2×C9×C173 |
| Hall | C11×C173 ⋊ C2×C9 |
| Hall | C9×C11 ⋊ C2×C173 |
24 conjugacy classes of subgroups.
| transitive degree | μt(G) = 17127 |
10899 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(34254, 3);