Finite Group DatabasebetaFinite Group Databasebeta| order | 34914 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C11 · Schur multiplier (H2) = C1 |
| direct product | D3×C529⋊C11 |
| unambiguous semidirect product | C3⋊(C2×C529⋊C11) |
| unambiguous semidirect product | (D3×C529)⋊C11 |
| Fitting, derived, Hall | C3×C529 ⋊ C2×C11 |
| Hall | C3×C529⋊C11 ⋊ C2 |
| Hall | D3×C529 ⋊ C11 |
| Sylow | C529 ⋊ D3×C11 |
| Sylow | C3 ⋊ C2×C529⋊C11 |
| subgroup | G/H | |
|---|---|---|
| center, hypercenter | C1 | G |
| commutator, Fitting, cosocle, hypocenter | C3×C529 | C2×C11 |
| Frattini | C23 | D3×C23⋊C11 |
| socle | C3×C23 | C2×C23⋊C11 |
| LCS | G ▷ C3×C529 | |
| UCS | C1 | |
24 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1587 |
177 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(34914, 3);