Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
500 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 500 conjugacy classes of subgroups — too many to draw. Only its 133 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. C2×#14556148 | C2 | semidirect |
| 2. C22×#11765848 | C2 | semidirect |
| 3. #17986511 | C2 | semidirect |
| 4. #17986506 | C2 | semidirect |
| 5. #17986256 | C2 | semidirect |
| 6. #17986251 | C2 | semidirect |
| 7. #17986248 | C2 | semidirect |
| 8. #17986244 | C2 | semidirect |
| 9. #17986035 | C2 | semidirect |
| 10. #17985996 | C2 | semidirect |
| 11. #416×C71 | C2 | semidirect |
| 15. C2×#11765855 | C22 | semidirect |
| 16. C2×#11765853 | C22 | semidirect |
| 17. C2×#11765852 | C22 | semidirect |
| 18. C2×#11765850 | C22 | semidirect |
| 34. #14556061 | C22 | semidirect |
| 35. #14556059 | C22 | semidirect |
| 36. #14556053 | C22 | semidirect |
| 37. #14556050 | C22 | semidirect |
| 41. #103×C71 | C22 | semidirect |
| 42. #102×C71 | C22 | semidirect |
| 63. C2×C71⋊C8 | D4 | semidirect |
| 149. C71 | #3054 | semidirect |
| 160. #416 | D71 | semidirect |
| 189. #103 | C2×D71 | semidirect |
| 191. #102 | C2×D71 | semidirect |