Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
504 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 504 conjugacy classes of subgroups — too many to draw. Only its 149 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×#14556156 | C2 | semidirect |
| 2. #17986577 | C2 | semidirect |
| 3. #17986563 | C2 | semidirect |
| 4. #17986252 | C2 | semidirect |
| 5. #17986245 | C2 | semidirect |
| 6. #17986235 | C2 | semidirect |
| 7. #17986228 | C2 | semidirect |
| 8. #17986041 | C2 | semidirect |
| 9. #17985996 | C2 | semidirect |
| 10. C2×#14556050 | C2 | semidirect |
| 11. C2×#131×C71 | C2 | semidirect |
| 19. #14556107 | C22 | semidirect |
| 23. #14556102 | C22 | semidirect |
| 29. #14556062 | C22 | semidirect |
| 30. #14556060 | C22 | semidirect |
| 31. #14556053 | C22 | semidirect |
| 32. #14556053 | C22 | semidirect |
| 35. #14556050 | C22 | semidirect |
| 36. #14556050 | C22 | semidirect |
| 40. C2×M16×C71 | C22 | semidirect |
| 42. C22×C8×C71 | C22 | semidirect |
| 79. M16×C71 | D4 | semidirect |
| 152. C71 | #3062 | semidirect |
| 154. C2×#131 | D71 | semidirect |
| 172. C2×M16 | C2×D71 | semidirect |
| 174. C22×C8 | C2×D71 | semidirect |
| 220. M16 | C22⋊D71 | semidirect |