Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
440 conjugacy classes of subgroups; only the 153 normal subgroups are shown.
This group has 440 conjugacy classes of subgroups — too many to draw. Only its 153 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. #17986556 | C2 | semidirect |
| 2. #17986299 | C2 | semidirect |
| 3. #17986289 | C2 | semidirect |
| 4. #17986279 | C2 | semidirect |
| 5. #17986039 | C2 | semidirect |
| 6. #17986023 | C2 | semidirect |
| 10. #14556128 | C22 | semidirect |
| 11. #14556128 | C22 | semidirect |
| 12. #14556120 | C22 | semidirect |
| 18. #14556061 | C22 | semidirect |
| 19. #14556059 | C22 | semidirect |
| 20. C4⋊(C71⋊C8) | C22 | semidirect |
| 21. C4⋊(C71⋊C8) | C22 | semidirect |
| 48. C2×D4×C71 | Q8 | semidirect |
| 116. C71 | #3077 | semidirect |
| 154. C2×D4 | Dic142 | semidirect |