Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
504 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 504 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×#14556154 | C2 | semidirect |
| 2. C2×#14556134 | C2 | semidirect |
| 3. #17986580 | C2 | semidirect |
| 4. #17986566 | C2 | semidirect |
| 5. #17986251 | C2 | semidirect |
| 6. #17986244 | C2 | semidirect |
| 7. #17986234 | C2 | semidirect |
| 8. #17986227 | C2 | semidirect |
| 9. #17986039 | C2 | semidirect |
| 10. #17985996 | C2 | semidirect |
| 11. C2×#102×C71 | C2 | semidirect |
| 19. C2×#11765848 | C22 | semidirect |
| 20. C2×C8×D71 | C22 | semidirect |
| 24. #14556108 | C22 | semidirect |
| 26. #14556103 | C22 | semidirect |
| 32. #14556061 | C22 | semidirect |
| 33. #14556059 | C22 | semidirect |
| 34. #14556053 | C22 | semidirect |
| 35. #14556053 | C22 | semidirect |
| 36. #14556050 | C22 | semidirect |
| 37. #14556050 | C22 | semidirect |
| 60. #11765849 | D4 | semidirect |
| 152. C71 | #3062 | semidirect |
| 163. C2×#102 | D71 | semidirect |