Finite Group DatabasebetaFinite Group Databasebeta| order | 13851 |
| automorphism | ? |
| homology | Abelianization (H1) = C33 · Schur multiplier (H2) = C33 |
No aliases for this group.
| Fitting | C19×#6880 ⋊ C3 |
| Sylow | C19 ⋊ #10624840 |
186 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1539 |
Polycyclic presentation:
3^6,19|a^3=f,b^3=e^2f,d^3=f^2,b^a=bd,d^a=de,e^a=ef,c^b=cf,g^c=g^7267 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(13851, 3118);