Finite Group DatabasebetaFinite Group Databasebeta| order | 28974 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C439 · Schur multiplier (H2) = C1 |
| direct product | D33×C439 |
| unambiguous semidirect product | C3⋊(D11×C439) |
| unambiguous semidirect product | C11⋊(D3×C439) |
| Fitting, socle, Hall | C3×C11×C439 ⋊ C2 |
| derived, Hall | C3×C11 ⋊ C2×C439 |
| Hall | C11×C439 ⋊ D3 |
| Hall | C3×C439 ⋊ D11 |
| Sylow | C11 ⋊ D3×C439 |
| Sylow | C3 ⋊ D11×C439 |
| subgroup | G/H | |
|---|---|---|
| center, hypercenter | C439 | D33 |
| commutator, cosocle, hypocenter | C3×C11 | C2×C439 |
| Frattini | C1 | G |
| Fitting, socle | C3×C11×C439 | C2 |
| LCS | G ▷ C3×C11 | |
| UCS | C1 ◁ C439 | |
16 conjugacy classes of subgroups.
| transitive degree | μt(G) = 14487 |
7902 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(28974, 8);