Finite Group DatabasebetaFinite Group Databasebeta| order | 4617 |
| automorphism | ? |
| homology | Abelianization (H1) = C33 · Schur multiplier (H2) = C33 |
No aliases for this group.
| Fitting | C19×#733 ⋊ C3 |
| Sylow | C19 ⋊ #6912 |
124 conjugacy classes of subgroups.
| transitive degree | μt(G) = 513 |
Polycyclic presentation:
3^5,19|a^3=e,b^3=e^2,b^a=bd,d^a=de,c^b=ce,f^c=f^7137 conjugacy classes — view the full character table.
| maximal subgroup of | #28355831, #28355835, #28355837, … |
| maximal normal subgroup of | #28355831, #28355835, #28355837, … |
| maximal quotient of | #28353744, #28353753, #28353779, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(4617, 277);