Finite Group DatabasebetaFinite Group Databasebeta| order | 34596 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C4 · Schur multiplier (H2) = C1 |
| unambiguous semidirect product | C3⋊((C961⋊C3)⋊C4) |
| unambiguous semidirect product | (C961⋊C3)⋊Dic3 |
| unambiguous semidirect product | Dic2883⋊C3 |
| derived | C3×C961 ⋊ C3×C4 |
| Hall | C3×C961⋊C3 ⋊ C4 |
| Sylow | C961 ⋊ C3×Dic3 |
42 conjugacy classes of subgroups.
| transitive degree | μt(G) = 11532 |
Polycyclic presentation:
2,3^2,31,2,31|a^2=e,d^31=f^30,c^a=c^2,d^a=d^30f,f^a=f^30,d^b=d^25f^15,f^b=f^25978 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(34596, 19);