Finite Group DatabasebetaFinite Group Databasebeta| order | 13851 |
| automorphism | ? |
| homology | Abelianization (H1) = C34 · Schur multiplier (H2) = C33×C9 |
No aliases for this group.
| Fitting | C19×#6896 ⋊ C3 |
| Sylow | C19 ⋊ #10624885 |
716 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1539 |
Polycyclic presentation:
3^6,19|a^3=f,b^3=e^2,b^a=be,c^a=cf,d^a=de,c^b=ce,g^d=g^7411 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(13851, 3439);