Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
420 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 420 conjugacy classes of subgroups — too many to draw. Only its 125 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. C2×#14556107 | C2 | semidirect |
| 3. #17986341 | C2 | semidirect |
| 4. #17986330 | C2 | semidirect |
| 5. #17986313 | C2 | semidirect |
| 6. #17986240 | C2 | semidirect |
| 7. #17986228 | C2 | semidirect |
| 8. #17986163 | C2 | semidirect |
| 9. #17986157 | C2 | semidirect |
| 10. #17986140 | C2 | semidirect |
| 11. C2×C22⋊C8×C71 | C2 | semidirect |
| 14. C2×Dic284 | C22 | semidirect |
| 15. C2×#11765854 | C22 | semidirect |
| 32. #14556062 | C22 | semidirect |
| 33. #14556060 | C22 | semidirect |
| 34. #14556053 | C22 | semidirect |
| 35. #14556053 | C22 | semidirect |
| 36. #14556053 | C22 | semidirect |
| 37. #14556050 | C22 | semidirect |
| 150. C71 | #3190 | semidirect |
| 161. C2×C22⋊C8 | D71 | semidirect |