Finite Group DatabasebetaFinite Group Databasebeta| order | 4617 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C9 · Schur multiplier (H2) = C3 |
No aliases for this group.
| Sylow | C19 ⋊ #6869 |
62 conjugacy classes of subgroups.
| transitive degree | μt(G) = 513 |
Polycyclic presentation:
3^5,19|a^3=d,d^3=e,b^a=bc,c^a=ce,f^a=f^7537 conjugacy classes — view the full character table.
| maximal subgroup of | #28353366, #28353367, #28353368, … |
| maximal normal subgroup of | #28353366, #28353367, #28353368, … |
| maximal quotient of | #28353147, #28353149, #28353151, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(4617, 102);