Finite Group DatabasebetaFinite Group Databasebeta| order | 4617 |
| automorphism | ? |
| homology | Abelianization (H1) = C34 · Schur multiplier (H2) = C35 |
No aliases for this group.
| Fitting | C3×C19×3−1+2 ⋊ C3 |
| Sylow | C19 ⋊ 3−1+4 |
460 conjugacy classes of subgroups.
| transitive degree | μt(G) = 513 |
Polycyclic presentation:
3^5,19|a^3=e,b^a=be,d^a=de,c^b=ce,f^c=f^7281 conjugacy classes — view the full character table.
| maximal subgroup of | #28354990, #28354992, #28354994, … |
| maximal normal subgroup of | #28354990, #28354992, #28354994, … |
| maximal quotient of | #28355923, #28355925, #28355928, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(4617, 307);