Finite Group DatabasebetaFinite Group Databasebeta| order | 13851 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C9 · Schur multiplier (H2) = C3 |
No aliases for this group.
| Sylow | C19 ⋊ #10624516 |
100 conjugacy classes of subgroups.
| transitive degree | μt(G) = 513 |
Polycyclic presentation:
3^6,19|a^3=d,b^3=e,c^3=f,d^3=f,b^a=bc,c^a=ce,e^a=ef,g^a=g^4,c^b=cf,d^b=df,g^d=g^7123 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(13851, 4160);