Finite Group DatabasebetaFinite Group Databasebeta| order | 34914 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C11 · Schur multiplier (H2) = C1 |
| unambiguous semidirect product | C3⋊#26042799 |
| Fitting, socle, derived, Hall | C3×C232 ⋊ C2×C11 |
| Hall | C3×#19154124 ⋊ C2 |
| Hall | #19154124 ⋊ D3 |
| Hall | C23×D69 ⋊ C11 |
| Sylow | C232 ⋊ D3×C11 |
| Sylow | C3 ⋊ #26042799 |
| subgroup | G/H | |
|---|---|---|
| center, Frattini, hypercenter | C1 | G |
| commutator, Fitting, socle, cosocle, hypocenter | C3×C232 | C2×C11 |
| LCS | G ▷ C3×C232 | |
| UCS | C1 | |
34 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1518 |
Polycyclic presentation:
2,11,3,23^2|c^a=c^2,e^a=e^22,d^b=d^2,e^b=e^3108 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(34914, 58);