Finite Group DatabasebetaFinite Group Databasebeta| order | 4617 |
| automorphism | ? |
| homology | Abelianization (H1) = C32×C9 · Schur multiplier (H2) = C3×C9 |
No aliases for this group.
| Sylow | C19 ⋊ #6887 |
138 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1539 |
Polycyclic presentation:
3^5,19|a^3=e,c^3=d,b^a=bd,f^a=f^7585 conjugacy classes — view the full character table.
| maximal subgroup of | #28353183, #28353185, #28353189, … |
| maximal normal subgroup of | #28353183, #28353185, #28353189, … |
| maximal quotient of | #28353494, C9×C32⋊#4294, C9×#13095306, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(4617, 166);