Finite Group DatabasebetaFinite Group Databasebeta| order | 13851 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C81 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Sylow | C19 ⋊ C243⋊C3 |
40 conjugacy classes of subgroups.
| transitive degree | μt(G) = 4617 |
Polycyclic presentation:
3^6,19|a^3=c,c^3=d,d^3=e,e^3=f,b^a=bf,g^a=g^4,g^c=g^7459 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(13851, 4201);