Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
398 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 398 conjugacy classes of subgroups — too many to draw. Only its 141 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. #17986630 | C2 | semidirect |
| 3. #17986301 | C2 | semidirect |
| 4. #17986297 | C2 | semidirect |
| 5. #17986287 | C2 | semidirect |
| 6. #17986277 | C2 | semidirect |
| 7. #17986039 | C2 | semidirect |
| 8. #17986037 | C2 | semidirect |
| 9. #17986025 | C2 | semidirect |
| 14. #14556127 | C22 | semidirect |
| 16. #14556119 | C22 | semidirect |
| 26. #14556062 | C22 | semidirect |
| 27. #14556062 | C22 | semidirect |
| 28. #14556061 | C22 | semidirect |
| 29. #14556060 | C22 | semidirect |
| 30. #14556060 | C22 | semidirect |
| 31. #14556059 | C22 | semidirect |
| 32. Dic71⋊C8 | C22 | semidirect |
| 33. Dic71⋊C8 | C22 | semidirect |
| 66. C2×D4×C71 | Q8 | semidirect |
| 125. C71 | #3081 | semidirect |
| 170. C2×D4 | Dic142 | semidirect |