Finite Group DatabasebetaFinite Group Databasebeta| order | 9477 |
| automorphism | ? |
| homology | Abelianization (H1) = C33 · Schur multiplier (H2) = C33 |
| direct product | C32×(C33⋊C13)⋊C3 |
| unambiguous semidirect product | (C33⋊C13)⋊C33 |
| unambiguous semidirect product | (C3×C33⋊C13)⋊C32 |
| Fitting, socle | C35 ⋊ C13⋊C3 |
| derived | C33⋊C13 ⋊ C33 |
| subgroup | G/H | |
|---|---|---|
| center, hypercenter | C32 | (C33⋊C13)⋊C3 |
| commutator, cosocle, hypocenter | C33⋊C13 | C33 |
| Frattini | C1 | G |
| Fitting, socle | C35 | C13⋊C3 |
| LCS | G ▷ C33⋊C13 | |
| UCS | C1 ◁ C32 | |
576 conjugacy classes of subgroups.
117 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9477, 4051);