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×#14556153 | C2 | semidirect |
| 2. C2×#14556134 | C2 | semidirect |
| 3. #17986577 | C2 | semidirect |
| 4. #17986568 | C2 | semidirect |
| 5. #17986251 | C2 | semidirect |
| 6. #17986248 | C2 | semidirect |
| 7. #17986234 | C2 | semidirect |
| 8. #17986231 | C2 | semidirect |
| 9. #17986042 | C2 | semidirect |
| 10. C2×#14556050 | C2 | semidirect |
| 11. #416×C71 | C2 | semidirect |
| 19. C2×#11765848 | C22 | semidirect |
| 20. C2×C8×D71 | C22 | semidirect |
| 24. #14556104 | C22 | semidirect |
| 29. #14556099 | C22 | semidirect |
| 32. #14556061 | C22 | semidirect |
| 33. #14556059 | C22 | semidirect |
| 39. #103×C71 | C22 | semidirect |
| 40. #103×C71 | C22 | semidirect |
| 41. #102×C71 | C22 | semidirect |
| 42. #102×C71 | C22 | semidirect |
| 60. #11765849 | D4 | semidirect |
| 152. C71 | #3062 | semidirect |
| 162. #416 | D71 | semidirect |
| 189. #103 | C2×D71 | semidirect |
| 190. #103 | C2×D71 | semidirect |
| 193. #102 | C2×D71 | semidirect |
| 194. #102 | C2×D71 | semidirect |