Finite Group DatabasebetaFinite Group Databasebeta| order | 4617 |
| automorphism | ? |
| homology | Abelianization (H1) = C32×C9 · Schur multiplier (H2) = C32 |
| direct product | C3×#13095343 |
| Sylow | C19 ⋊ C3×C27⋊C3 |
120 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1539 |
153 conjugacy classes — view the full character table.
| maximal subgroup of | #28356734, #28356740, #28356747, … |
| maximal normal subgroup of | #28356734, #28356740, #28356747, … |
| maximal quotient of | C3×#17987555, C9×#13095343, C3×#17987557, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(4617, 357);