Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
468 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 468 conjugacy classes of subgroups — too many to draw. Only its 137 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×#14556107 | C2 | semidirect |
| 2. #17986329 | C2 | semidirect |
| 3. #17986315 | C2 | semidirect |
| 4. #17986226 | C2 | semidirect |
| 5. #17986150 | C2 | semidirect |
| 6. #17986137 | C2 | semidirect |
| 7. C2×C22⋊(C71⋊C8) | C2 | semidirect |
| 9. C22×Dic142 | C22 | semidirect |
| 10. C2×#11765853 | C22 | semidirect |
| 11. C22×C71⋊C8 | C22 | semidirect |
| 15. #14556107 | C22 | semidirect |
| 16. C2×C4⋊Dic71 | C22 | semidirect |
| 19. #14556059 | C22 | semidirect |
| 20. #14556051 | C22 | semidirect |
| 21. #14556049 | C22 | semidirect |
| 23. C22⋊(C71⋊C8) | C22 | semidirect |
| 73. C23×C71 | SD16 | semidirect |
| 130. C71 | #3187 | semidirect |
| 203. C23 | #11765853 | semidirect |