Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
286 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 286 conjugacy classes of subgroups — too many to draw. Only its 89 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #17986039 | C2 | semidirect |
| 4. #17985864 | C2 | semidirect |
| 5. #17985767 | C2 | semidirect |
| 6. #17985760 | C2 | semidirect |
| 19. #14556055 | C4 | semidirect |
| 30. #11765849 | C2×C4 | semidirect |
| 42. C4×Dic71 | C2×C4 | semidirect |
| 112. C71 | #1860 | semidirect |