Finite Group DatabasebetaFinite Group Databasebeta| order | 9088 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C23×C4 |
| direct product | #482×D71 |
| Fitting | #482×C71 ⋊ C2 |
| Sylow | C71 ⋊ C2×#482 |
468 conjugacy classes of subgroups.
703 conjugacy classes — view the full character table.
| maximal subgroup of | C2×#482×D71, #3091×D71, #3093×D71, … |
| maximal normal subgroup of | C2×#482×D71, #3091×D71, #3093×D71, … |
| maximal quotient of | #1825×D71, #1854×D71, #1875×D71, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9088, 14390);