Finite Group DatabasebetaFinite Group Databasebeta| order | 9088 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C2×#17985981 |
| Fitting | C22×M16×C71 ⋊ C2 |
| Sylow | C71 ⋊ C2×#413 |
756 conjugacy classes of subgroups.
1444 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #31902788, #31902791, #31902798, … |
| maximal normal subgroup of | #31902788, #31902791, #31902798, … |
| maximal quotient of | C2×#22586652, C2×#22586656, #31963263, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9088, 12983);