Finite Group DatabasebetaFinite Group Databasebeta| order | 9477 |
| isoclinism | isoclinic class of C33⋊C13 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C9×C13 · Schur multiplier (H2) = C3 |
| direct product | C3×C9×C33⋊C13 |
| unambiguous semidirect product | (C34×C9)⋊C13 |
| Fitting, Sylow | C34×C9 ⋊ C13 |
| derived | C33 ⋊ C3×C9×C13 |
| subgroup | G/H | |
|---|---|---|
| center, hypercenter | C3×C9 | C33⋊C13 |
| commutator, hypocenter | C33 | C3×C9×C13 |
| Frattini | C3 | C32×C33⋊C13 |
| Fitting | C34×C9 | C13 |
| socle | C35 | C3×C13 |
| prime radical | C32×C33⋊C13 | C3 |
| cosocle | C34 | C32×C13 |
| LCS | G ▷ C33 | |
| UCS | C1 ◁ C3×C9 | |
432 conjugacy classes of subgroups.
405 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9477, 4037);