Finite Group DatabasebetaFinite Group Databasebeta| order | 4617 |
| automorphism | ? |
| homology | Abelianization (H1) = C33 · Schur multiplier (H2) = C33 |
No aliases for this group.
| 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^b=f^7233 conjugacy classes — view the full character table.
| maximal subgroup of | #28354999, #28355000, #28355001, … |
| maximal normal subgroup of | #28354999, #28355000, #28355001, … |
| maximal quotient of | #28353745, #28353746, #28353748, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(4617, 279);