Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
388 conjugacy classes of subgroups; only the 139 normal subgroups are shown.
This group has 388 conjugacy classes of subgroups — too many to draw. Only its 139 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. #17986706 | C2 | semidirect |
| 2. #17986395 | C2 | semidirect |
| 3. #17986329 | C2 | semidirect |
| 4. #17986315 | C2 | semidirect |
| 5. #17986289 | C2 | semidirect |
| 6. #17986281 | C2 | semidirect |
| 7. #17986226 | C2 | semidirect |
| 8. C4×#11765853 | C2 | semidirect |
| 9. D4×C71⋊C8 | C2 | semidirect |
| 10. C2×#14556059 | C2 | semidirect |
| 80. D4×C71 | SD16 | semidirect |
| 100. C71⋊C8 | #41 | semidirect |
| 124. C71 | #3335 | semidirect |
| 207. D4 | #11765853 | semidirect |