Finite Group DatabasebetaFinite Group Databasebeta| order | 4617 |
| automorphism | ? |
| homology | Abelianization (H1) = C32×C9 · Schur multiplier (H2) = C33 |
| direct product | C3×#13095305 |
| Sylow | C19 ⋊ C3×C9⋊C9 |
180 conjugacy classes of subgroups.
| transitive degree | μt(G) = 4617 |
585 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #28353499, C9×#13095305, #28353507, … |
| maximal normal subgroup of | #28353499, C9×#13095305, #28353507, … |
| maximal quotient of | C3×#17987308, C9×#13095305, #28353507, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(4617, 160);