Finite Group DatabasebetaFinite Group Databasebeta| order | 4617 |
| automorphism | ? |
| homology | Abelianization (H1) = C33 · Schur multiplier (H2) = C33 |
| direct product | C3×#13095321 |
| Sylow | C19 ⋊ C3×#733 |
132 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1539 |
249 conjugacy classes — view the full character table.
| maximal subgroup of | C9×#13095321, #28354797, #28354832, … |
| maximal normal subgroup of | C9×#13095321, #28354797, #28354832, … |
| maximal quotient of | C3×#17987314, C3×#17987315, C3×#17987317, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(4617, 255);