Finite Group DatabasebetaFinite Group Databasebeta| order | 4617 |
| automorphism | ? |
| homology | Abelianization (H1) = C33 · Schur multiplier (H2) = C33 |
No aliases for this group.
| Fitting | C3×C19×3−1+2 ⋊ C3 |
| Sylow | C19 ⋊ #6910 |
136 conjugacy classes of subgroups.
| transitive degree | μt(G) = 513 |
Polycyclic presentation:
3^5,19|b^3=e,b^a=bd,d^a=de,f^a=f^7,c^b=ce233 conjugacy classes — view the full character table.
| maximal subgroup of | #28354983, #28354989, #28354990, … |
| maximal normal subgroup of | #28354983, #28354989, #28354990, … |
| maximal quotient of | #28353737, #28353748, #28353752, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(4617, 271);