Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
596 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 596 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. C22×#11765850 | C2 | semidirect |
| 2. C22×#11765848 | C2 | semidirect |
| 3. C2×#14556103 | C2 | semidirect |
| 4. C2×#14556099 | C2 | semidirect |
| 5. #17986251 | C2 | direct (N × H) |
| 6. C2×#14556059 | C2 | semidirect |
| 7. C2×#14556050 | C2 | semidirect |
| 8. C2×#102×C71 | C2 | semidirect |
| 14. C2×#11765850 | C22 | semidirect |
| 16. C2×#11765848 | C22 | semidirect |
| 19. #14556103 | C22 | semidirect |
| 21. #14556099 | C22 | semidirect |
| 25. #14556059 | C22 | semidirect |
| 26. #14556050 | C22 | semidirect |
| 30. #102×C71 | C22 | semidirect |
| 49. C2×C71⋊C8 | D4 | semidirect |
| 101. C71⋊C8 | C2×D4 | semidirect |
| 125. C2×C71 | #469 | semidirect |
| 132. C71 | C2×#469 | semidirect |
| 140. C2×#102 | D71 | semidirect |
| 162. #102 | C2×D71 | semidirect |
| 259. C2 | #17986251 | direct (N × H) |