Finite Group DatabasebetaFinite Group Databasebeta| order | 4617 |
| automorphism | ? |
| homology | Abelianization (H1) = C33 · Schur multiplier (H2) = C33 |
| direct product | C19⋊C3×#731 |
| Fitting | C19×#731 ⋊ C3 |
| Sylow | C19 ⋊ C3×#731 |
144 conjugacy classes of subgroups.
| transitive degree | μt(G) = 513 |
153 conjugacy classes — view the full character table.
| maximal subgroup of | C3×C19⋊C3×#731, C19⋊C3×#6908, C19⋊C3×#6910, … |
| maximal normal subgroup of | C3×C19⋊C3×#731, C19⋊C3×#6908, C19⋊C3×#6910, … |
| maximal quotient of | C19⋊C3×#6857, C19⋊C3×#6858, C19⋊C3×#6859, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(4617, 247);