Finite Group DatabasebetaFinite Group Databasebeta| order | 13851 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C92 · Schur multiplier (H2) = C3×C9 |
No aliases for this group.
| Fitting | C19×#6864 ⋊ C3 |
| Sylow | C19 ⋊ C9×C27⋊C3 |
320 conjugacy classes of subgroups.
| transitive degree | μt(G) = 4617 |
Polycyclic presentation:
3^6,19|a^3=d,b^3=e,d^3=f,c^a=cf,g^b=g^7,g^c=g^11891 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(13851, 1971);