Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
370 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 370 conjugacy classes of subgroups — too many to draw. Only its 115 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 |
|---|---|---|
| 1. #17986530 | C2 | semidirect |
| 2. #17986399 | C2 | semidirect |
| 3. #17986382 | C2 | semidirect |
| 4. #17986352 | C2 | semidirect |
| 5. #17986257 | C2 | semidirect |
| 6. #17986243 | C2 | semidirect |
| 7. #17986111 | C2 | semidirect |
| 8. #17986105 | C2 | semidirect |
| 9. #17986096 | C2 | semidirect |
| 10. M16×Dic71 | C2 | semidirect |
| 110. C71 | #3183 | semidirect |