Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
548 conjugacy classes of subgroups; only the 135 normal subgroups are shown.
This group has 548 conjugacy classes of subgroups — too many to draw. Only its 135 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×#14556153 | C2 | semidirect |
| 2. C2×M16×D71 | C2 | semidirect |
| 3. #17986506 | C2 | semidirect |
| 4. C2×#14556103 | C2 | semidirect |
| 5. #17986251 | C2 | semidirect |
| 6. #17986248 | C2 | semidirect |
| 7. #17986234 | C2 | semidirect |
| 8. #17986231 | C2 | semidirect |
| 9. #17986039 | C2 | semidirect |
| 10. #17986005 | C2 | semidirect |
| 11. #417×C71 | C2 | semidirect |
| 16. C2×#11765852 | C22 | semidirect |
| 17. C2×#11765850 | C22 | semidirect |
| 19. C2×#11765848 | C22 | semidirect |
| 21. C2×C8×D71 | C22 | semidirect |
| 23. #14556104 | C22 | semidirect |
| 24. #14556104 | C22 | semidirect |
| 29. #14556099 | C22 | semidirect |
| 30. #14556099 | C22 | semidirect |
| 36. #14556061 | C22 | semidirect |
| 37. #14556059 | C22 | semidirect |
| 38. #14556050 | C22 | semidirect |
| 39. #14556050 | C22 | semidirect |
| 43. #103×C71 | C22 | semidirect |
| 44. #102×C71 | C22 | semidirect |
| 65. #11765849 | D4 | semidirect |
| 136. C71⋊C8 | C2×D4 | semidirect |
| 154. C2×D71 | AGL(1,ℤ/8) | semidirect |
| 173. C71 | #3055 | semidirect |
| 184. #417 | D71 | semidirect |
| 214. #103 | C2×D71 | semidirect |
| 217. #102 | C2×D71 | semidirect |