Finite Group DatabasebetaFinite Group Databasebeta| order | 9477 |
| isoclinism | isoclinic class of C33⋊C13 |
| automorphism | ? |
| homology | Abelianization (H1) = C33×C13 · Schur multiplier (H2) = C33 |
| direct product | C33×C33⋊C13 |
| Fitting, socle, Sylow | C36 ⋊ C13 |
| derived | C33 ⋊ C33×C13 |
| subgroup | G/H | |
|---|---|---|
| center, hypercenter | C33 | C33⋊C13 |
| commutator, cosocle, hypocenter | C33 | C33×C13 |
| Frattini | C1 | G |
| Fitting, socle | C36 | C13 |
| LCS | G ▷ C33 | |
| UCS | C1 ◁ C33 | |
4464 conjugacy classes of subgroups.
405 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9477, 4040);