Finite Group DatabasebetaFinite Group Databasebeta| order | 25886 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C7 · Schur multiplier (H2) = C1 |
| direct product | C2×C1849⋊C7 |
| unambiguous semidirect product | (C2×C1849)⋊C7 |
| Fitting, Hall | C2×C1849 ⋊ C7 |
| derived, Sylow | C1849 ⋊ C2×C7 |
| subgroup | G/H | |
|---|---|---|
| center, hypercenter | C2 | C1849⋊C7 |
| commutator, cosocle, hypocenter | C1849 | C2×C7 |
| Frattini | C43 | C2×C43⋊C7 |
| Fitting | C2×C1849 | C7 |
| socle | C2×C43 | C43⋊C7 |
| LCS | G ▷ C1849 | |
| UCS | C1 ◁ C2 | |
12 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3698 |
542 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(25886, 3);