Finite Group DatabasebetaFinite Group Databasebeta| order | 35322 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C7 · Schur multiplier (H2) = C29 |
| direct product | D3×#19154637 |
| unambiguous semidirect product | C3⋊(C2×#19154637) |
| Fitting, socle, derived, Hall | C3×C292 ⋊ C2×C7 |
| Hall | C3×#19154637 ⋊ C2 |
| Hall | D3×C292 ⋊ C7 |
| Sylow | C292 ⋊ D3×C7 |
| Sylow | C3 ⋊ C2×#19154637 |
| subgroup | G/H | |
|---|---|---|
| center, Frattini, hypercenter | C1 | G |
| commutator, Fitting, socle, cosocle, hypocenter | C3×C292 | C2×C7 |
| LCS | G ▷ C3×C292 | |
| UCS | C1 | |
48 conjugacy classes of subgroups.
| transitive degree | μt(G) = 609 |
381 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(35322, 52);