Finite Group DatabasebetaFinite Group Databasebeta| order | 18549 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C9 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Sylow | C229 ⋊ C27⋊C3 |
24 conjugacy classes of subgroups.
| transitive degree | μt(G) = 6183 |
Polycyclic presentation:
3^4,229|a^3=c,c^3=d,b^a=bd,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, 27);