Finite Group DatabasebetaFinite Group Databasebeta| order | 4617 |
| automorphism | ? |
| homology | Abelianization (H1) = C32×C9 · Schur multiplier (H2) = C32 |
| direct product | C3×#13095311 |
| Fitting | C3×C19×C27 ⋊ C3 |
| Sylow | C19 ⋊ C3×C27⋊C3 |
120 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1539 |
585 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C9×#13095311, #28354607, #28354609, … |
| maximal normal subgroup of | C9×#13095311, #28354607, #28354609, … |
| maximal quotient of | C3×#17987330, C9×#13095311, C3×#17987332, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(4617, 238);