Finite Group DatabasebetaFinite Group Databasebeta| order | 13851 |
| automorphism | ? |
| homology | Abelianization (H1) = C92 · Schur multiplier (H2) = C92 |
No aliases for this group.
| Fitting | C92×C19 ⋊ C9 |
| Sylow | C19 ⋊ H(3,ℤ/9) |
174 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1539 |
Polycyclic presentation:
3^6,19|a^3=d,b^3=e,c^3=f^2,b^a=bc,e^a=ef^2,d^b=df,g^b=g^4,g^e=g^7267 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(13851, 4081);