Finite Group DatabasebetaFinite Group Databasebeta| order | 4617 |
| automorphism | ? |
| homology | Abelianization (H1) = C32×C9 · Schur multiplier (H2) = C34 |
| direct product | C3×C32⋊#4294 |
| Sylow | C19 ⋊ C3×C32⋊C9 |
288 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1539 |
585 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #28353159, #28353160, #28353161, … |
| maximal normal subgroup of | #28353159, #28353160, #28353161, … |
| maximal quotient of | C3×#17987308, C9×C32⋊#4294, #28353505, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(4617, 158);