Finite Group DatabasebetaFinite Group Databasebeta| order | 26934 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4489 · Schur multiplier (H2) = C1 |
| direct product | D3×C4489 |
| unambiguous semidirect product | C3⋊(C2×C4489) |
| Fitting, Hall | C3×C4489 ⋊ C2 |
| derived, Sylow | C3 ⋊ C2×C4489 |
| subgroup | G/H | |
|---|---|---|
| center, hypercenter | C4489 | D3 |
| commutator, hypocenter | C3 | C2×C4489 |
| Frattini | C67 | D3×C67 |
| Fitting | C3×C4489 | C2 |
| socle, cosocle | C3×C67 | C2×C67 |
| prime radical | D3×C67 | C67 |
| LCS | G ▷ C3 | |
| UCS | C1 ◁ C4489 | |
12 conjugacy classes of subgroups.
| transitive degree | μt(G) = 13467 |
13467 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(26934, 4);