Finite Group DatabasebetaFinite Group Databasebeta| order | 14534 |
| isoclinism | isoclinic class of D43 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C132 · Schur multiplier (H2) = C13 |
| direct product | C132×D43 |
| unambiguous semidirect product | C43⋊(C2×C132) |
| Fitting, socle, Hall | C132×C43 ⋊ C2 |
| derived, Sylow | C43 ⋊ C2×C132 |
| subgroup | G/H | |
|---|---|---|
| center, hypercenter | C132 | D43 |
| commutator, cosocle, hypocenter | C43 | C2×C132 |
| Frattini | C1 | G |
| Fitting, socle | C132×C43 | C2 |
| LCS | G ▷ C43 | |
| UCS | C1 ◁ C132 | |
64 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7267 |
3887 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C13×D13×D43, D43×C13⋊D13, C2×C132×D43 |
| maximal normal subgroup of | C13×D13×D43, D43×C13⋊D13, C2×C132×D43 |
| maximal quotient of | C132×Dic43, C2×C132×D43 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14534, 10);