Finite Group DatabasebetaFinite Group Databasebeta| order | 34476 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C13×C17 · Schur multiplier (H2) = C1 |
| direct product | C13×C17×C3⋊#261 |
| unambiguous semidirect product | C3⋊(C13×C17×#261) |
| Fitting, socle, Hall | C3×C132×C17 ⋊ C4 |
| derived | C3×C13 ⋊ C4×C13×C17 |
| Hall | C132×C17 ⋊ Dic3 |
| Hall | C3×C132 ⋊ C4×C17 |
| Sylow | C132 ⋊ Dic3×C17 |
| Hall | C3×C17 ⋊ C13×#261 |
| Sylow | C3 ⋊ C13×C17×#261 |
60 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2652 |
3315 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(34476, 227);