Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
524 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 524 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. C22×#11765850 | C2 | semidirect |
| 2. C2×#14556136 | C2 | semidirect |
| 3. #17986568 | C2 | semidirect |
| 4. #17986566 | C2 | semidirect |
| 5. #17986251 | C2 | semidirect |
| 6. #17986234 | C2 | semidirect |
| 7. #17986035 | C2 | semidirect |
| 8. #17986005 | C2 | semidirect |
| 9. #418×C71 | C2 | semidirect |
| 16. C2×#11765848 | C22 | semidirect |
| 18. C2×C8×D71 | C22 | semidirect |
| 23. #14556103 | C22 | semidirect |
| 24. #14556099 | C22 | semidirect |
| 28. #14556061 | C22 | semidirect |
| 29. #14556059 | C22 | semidirect |
| 30. #14556050 | C22 | semidirect |
| 34. #102×C71 | C22 | semidirect |
| 51. C2×C71⋊C8 | D4 | semidirect |
| 126. C71 | #3058 | semidirect |
| 135. #418 | D71 | semidirect |
| 160. #102 | C2×D71 | semidirect |