Finite Group DatabasebetaFinite Group Databasebeta| order | 9088 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C2×#17986807 |
| Fitting | C2×2−1+4×C71 ⋊ C2 |
| Sylow | C71 ⋊ C2×#577 |
1460 conjugacy classes of subgroups.
1234 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #32013359, #32013367, #32013386, … |
| maximal normal subgroup of | #32013359, #32013367, #32013386, … |
| maximal quotient of | C2×#22596863, C2×#22596873, C2×#22596933, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9088, 19267);