Finite Group DatabasebetaFinite Group Databasebeta| order | 4617 |
| automorphism | ? |
| homology | Abelianization (H1) = C33 · Schur multiplier (H2) = C9 |
No aliases for this group.
| Sylow | C19 ⋊ #6896 |
120 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1539 |
Polycyclic presentation:
3^5,19|b^3=e,c^3=d,b^a=bd,c^a=ce,f^b=f^11,f^c=f^7249 conjugacy classes — view the full character table.
| maximal subgroup of | C19⋊C3×#6896, C3×#17987447, #28356019, … |
| maximal normal subgroup of | C19⋊C3×#6896, C3×#17987447, #28356019, … |
| maximal quotient of | #28353515, #28353548, #28353557, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(4617, 208);