Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
440 conjugacy classes of subgroups; only the 143 normal subgroups are shown.
This group has 440 conjugacy classes of subgroups — too many to draw. Only its 143 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. #17986552 | C2 | semidirect |
| 3. #17986301 | C2 | semidirect |
| 4. #17986297 | C2 | semidirect |
| 5. #17986287 | C2 | semidirect |
| 6. #17986277 | C2 | semidirect |
| 7. #17986042 | C2 | semidirect |
| 8. #17986041 | C2 | semidirect |
| 9. #17986022 | C2 | semidirect |
| 14. #14556127 | C22 | semidirect |
| 15. #14556127 | C22 | semidirect |
| 16. #14556119 | C22 | semidirect |
| 17. #14556119 | C22 | semidirect |
| 30. #14556062 | C22 | semidirect |
| 31. #14556061 | C22 | semidirect |
| 32. #14556060 | C22 | semidirect |
| 33. #14556059 | C22 | semidirect |
| 34. Dic71⋊C8 | C22 | semidirect |
| 35. Dic71⋊C8 | C22 | semidirect |
| 74. C2×D4×C71 | Q8 | semidirect |
| 139. C71 | #3077 | semidirect |
| 187. C2×D4 | Dic142 | semidirect |