Finite Group DatabasebetaFinite Group Databasebeta| order | 7436 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C13 · Schur multiplier (H2) = C1 |
| direct product | C13×C11⋊#261 |
| unambiguous semidirect product | C11⋊(C13×#261) |
| Fitting, socle, Hall | C11×C132 ⋊ C4 |
| derived | C11×C13 ⋊ C4×C13 |
| Sylow | C132 ⋊ Dic11 |
| Sylow | C11 ⋊ C13×#261 |
| subgroup | G/H | |
|---|---|---|
| center, hypercenter | C13 | C11⋊#261 |
| commutator, hypocenter | C11×C13 | C4×C13 |
| Frattini | C1 | G |
| Fitting, socle | C11×C132 | C4 |
| LCS | G ▷ C11×C13 | |
| UCS | C1 ◁ C13 | |
30 conjugacy classes of subgroups.
611 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7436, 24);