Finite Group DatabasebetaFinite Group Databasebeta| order | 34914 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C3 · Schur multiplier (H2) = C1 |
| direct product | C3×#26042805 |
| Fitting, socle, Hall | C3×C232 ⋊ D11 |
| derived, Hall | #19154125 ⋊ C2×C3 |
| Hall | C3×#19154125 ⋊ C2 |
| Sylow | C232 ⋊ C3×D11 |
| subgroup | G/H | |
|---|---|---|
| center, hypercenter | C3 | #26042805 |
| commutator, cosocle, hypocenter | #19154125 | C2×C3 |
| Frattini | C1 | G |
| Fitting, socle | C3×C232 | D11 |
| LCS | G ▷ #19154125 | |
| UCS | C1 ◁ C3 | |
28 conjugacy classes of subgroups.
| transitive degree | μt(G) = 138 |
192 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(34914, 17);