Finite Group DatabasebetaFinite Group Databasebeta| order | 9088 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C2×#17986805 |
| Fitting | C22×SD16×C71 ⋊ C2 |
| Sylow | C71 ⋊ C2×#577 |
1460 conjugacy classes of subgroups.
1024 conjugacy classes — view the full character table.
| maximal subgroup of | #32013360, #32013392, #32013444, … |
| maximal normal subgroup of | #32013360, #32013392, #32013444, … |
| maximal quotient of | C2×#22596861, C2×#22596868, C2×#22596931, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9088, 19265);