Finite Group DatabasebetaFinite Group Databasebeta| order | 4617 |
| automorphism | ? |
| homology | Abelianization (H1) = C33 · Schur multiplier (H2) = C33 |
| direct product | C3×#13095317 |
| Fitting | C32×C9×C19 ⋊ C3 |
| Sylow | C19 ⋊ C3×#731 |
144 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1539 |
537 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #28354783, C9×#13095317, #28354811, … |
| maximal normal subgroup of | #28354783, C9×#13095317, #28354811, … |
| maximal quotient of | C3×#17987313, C3×#17987315, C3×#17987317, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(4617, 249);