Finite Group DatabasebetaFinite Group Databasebeta| order | 13851 |
| automorphism | ? |
| homology | Abelianization (H1) = C32 · Schur multiplier (H2) = C33 |
No aliases for this group.
| Fitting | C19×#6855 ⋊ C3 |
| Sylow | C19 ⋊ #10624480 |
156 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1539 |
Polycyclic presentation:
3^6,19|c^3=f^2,b^a=bc,c^a=cd,d^a=df,e^a=ef,g^a=g^7,c^b=ce,d^b=df,e^b=ef,g^b=g^7651 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(13851, 618);