Finite Group DatabasebetaFinite Group Databasebeta| order | 4617 |
| automorphism | ? |
| homology | Abelianization (H1) = C92 · Schur multiplier (H2) = C3 |
No aliases for this group.
| Sylow | C19 ⋊ #6864 |
60 conjugacy classes of subgroups.
| transitive degree | μt(G) = 4617 |
Polycyclic presentation:
3^5,19|a^3=c,b^3=d,c^3=e,b^a=be,f^a=f^7585 conjugacy classes — view the full character table.
| maximal subgroup of | #28353193, #28353478, #28353480, … |
| maximal normal subgroup of | #28353193, #28353478, #28353480, … |
| maximal quotient of | #28353145, #28353197, #28353350, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(4617, 92);