Finite Group DatabasebetaFinite Group Databasebeta| order | 13851 |
| automorphism | ? |
| homology | Abelianization (H1) = C32×C9 · Schur multiplier (H2) = C33 |
No aliases for this group.
| Sylow | C19 ⋊ #10624723 |
250 conjugacy classes of subgroups.
| transitive degree | μt(G) = 4617 |
Polycyclic presentation:
3^6,19|a^3=e,b^3=f^2,c^3=ef,b^a=bd,d^a=df,g^a=g^11,c^b=cf,g^c=g^11411 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(13851, 2201);