Finite Group DatabasebetaFinite Group Databasebeta| order | 18549 |
| automorphism | ? |
| homology | Abelianization (H1) = C33 · Schur multiplier (H2) = C32 |
| direct product | C3×#20260063 |
| Sylow | C229 ⋊ C3×3−1+2 |
76 conjugacy classes of subgroups.
| transitive degree | μt(G) = 6183 |
2085 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18549, 45);