Finite Group DatabasebetaFinite Group Databasebeta| order | 9088 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C23×C4 |
| direct product | C2×#17986367 |
| Sylow | C71 ⋊ C2×#491 |
384 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 384 conjugacy classes of subgroups — too many to draw. Only its 149 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
1012 conjugacy classes — view the full character table.
| maximal subgroup of | #31892393, #31898761, #31898762, … |
| maximal normal subgroup of | #31892393, #31898761, #31898762, … |
| maximal quotient of | C2×#22588475, C2×#22589033, C2×#22589161, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9088, 14849);