Finite Group DatabasebetaFinite Group Databasebeta| order | 9477 |
| automorphism | ? |
| homology | Abelianization (H1) = C32 · Schur multiplier (H2) = C32 |
| unambiguous semidirect product | C32⋊((C33⋊C13)⋊C3) |
| unambiguous semidirect product | (C33⋊C13)⋊H(3,𝔽3) |
| unambiguous semidirect product | (C3×(C33⋊C13)⋊C3)⋊C3 |
| Fitting | C35 ⋊ C13⋊C3 |
242 conjugacy classes of subgroups.
Polycyclic presentation:
3,13,3^5|b^a=b^9,c^a=cg,d^a=de^2f,e^a=ef,d^b=d^2e^2f,e^b=d^2e^2,f^b=e^2f^269 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9477, 4047);