Finite Group DatabasebetaFinite Group Databasebeta| order | 4617 |
| automorphism | ? |
| homology | Abelianization (H1) = C32×C9 · Schur multiplier (H2) = C33 |
| direct product | C3×#13095338 |
| Fitting | C3×C9×C19 ⋊ C9 |
| Sylow | C19 ⋊ C3×C9⋊C9 |
180 conjugacy classes of subgroups.
| transitive degree | μt(G) = 513 |
153 conjugacy classes — view the full character table.
| maximal subgroup of | #28356740, #28356741, #28356813, … |
| maximal normal subgroup of | #28356740, #28356741, #28356813, … |
| maximal quotient of | C3×(C3×#4296)⋊C9, C9×#13095338, #28356849, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(4617, 348);