Finite Group DatabasebetaFinite Group Databasebeta| order | 13851 |
| automorphism | ? |
| homology | Abelianization (H1) = C34 · Schur multiplier (H2) = C36 |
No aliases for this group.
| Fitting | C19×#6913 ⋊ C3 |
| Sylow | C19 ⋊ #10624936 |
948 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1539 |
Polycyclic presentation:
3^6,19|b^3=f^2,c^3=f,b^a=be,e^a=ef,g^b=g^11,d^c=df,g^d=g^7315 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(13851, 4006);