Finite Group DatabasebetaFinite Group Databasebeta| order | 9088 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
| direct product | C2×#17986400 |
| Sylow | C71 ⋊ C2×#499 |
360 conjugacy classes of subgroups; only the 165 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 165 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
1024 conjugacy classes — view the full character table.
| maximal subgroup of | #31916030, #31916032, #31916043, … |
| maximal normal subgroup of | #31916030, #31916032, #31916043, … |
| maximal quotient of | C2×#22588503, C2×#22589067, C2×#22589071, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9088, 15013);