Finite Group DatabasebetaFinite Group Databasebeta| order | 4617 |
| automorphism | ? |
| homology | Abelianization (H1) = C32×C9 · Schur multiplier (H2) = C32 |
No aliases for this group.
| Sylow | C19 ⋊ #6903 |
110 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1539 |
Polycyclic presentation:
3^5,19|a^3=d,d^3=e,f^a=f^4,c^b=ce,f^b=f^11,f^d=f^7121 conjugacy classes — view the full character table.
| maximal subgroup of | #28356999, #28357000, #28357001, … |
| maximal normal subgroup of | #28356999, #28357000, #28357001, … |
| maximal quotient of | #28356881, #28356882, #28356892, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(4617, 360);