Finite Group DatabasebetaFinite Group Databasebeta| order | 18549 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C9 · Schur multiplier (H2) = C3 |
No aliases for this group.
| Sylow | C229 ⋊ C9⋊C9 |
34 conjugacy classes of subgroups.
| transitive degree | μt(G) = 18549 |
Polycyclic presentation:
3^4,229|a^3=d,b^3=c,b^a=bc,e^a=e^1342085 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18549, 21);