Finite Group DatabasebetaFinite Group Databasebeta| order | 9088 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | Q32×Dic71 |
| Sylow | C71 ⋊ C4×Q32 |
150 conjugacy classes of subgroups.
814 conjugacy classes — view the full character table.
| maximal subgroup of | #31918028, SD64×Dic71, #31918035, … |
| maximal normal subgroup of | #31918028, SD64×Dic71, #31918035, … |
| maximal quotient of | Q32×C71⋊C8, #31909369, #31909443, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9088, 6369);