Finite Group DatabasebetaFinite Group Databasebeta| order | 31974 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C5329 · Schur multiplier (H2) = C1 |
| direct product | D3×C5329 |
| unambiguous semidirect product | C3⋊(C2×C5329) |
| Fitting, Hall | C3×C5329 ⋊ C2 |
| derived, Sylow | C3 ⋊ C2×C5329 |
| subgroup | G/H | |
|---|---|---|
| center, hypercenter | C5329 | D3 |
| commutator, hypocenter | C3 | C2×C5329 |
| Frattini | C73 | D3×C73 |
| Fitting | C3×C5329 | C2 |
| socle, cosocle | C3×C73 | C2×C73 |
| prime radical | D3×C73 | C73 |
| LCS | G ▷ C3 | |
| UCS | C1 ◁ C5329 | |
12 conjugacy classes of subgroups.
| transitive degree | μt(G) = 15987 |
15987 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(31974, 4);