Finite Group DatabasebetaFinite Group Databasebeta| order | 13851 |
| automorphism | ? |
| homology | Abelianization (H1) = C92 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Fitting | C19×C81 ⋊ C9 |
| Sylow | C19 ⋊ #10624500 |
66 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1539 |
Polycyclic presentation:
3^6,19|a^3=c,b^3=d,c^3=e,e^3=f,b^a=be,d^a=df,c^b=cf^2,g^b=g^9,g^d=g^7267 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(13851, 4122);