Finite Group DatabasebetaFinite Group Databasebeta| order | 8991 |
| automorphism | ? |
| homology | Abelianization (H1) = C33 · Schur multiplier (H2) = C33 |
| direct product | C3×#15688515 |
| Sylow | C37 ⋊ C3×#731 |
144 conjugacy classes of subgroups.
447 conjugacy classes — view the full character table.
| maximal subgroup of | C9×#15688515, #41006381, #41006406, … |
| maximal normal subgroup of | C9×#15688515, #41006381, #41006406, … |
| maximal quotient of | C3×#22582445, C3×#22582449, C3×#22582450, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8991, 248);