Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
454 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 454 conjugacy classes of subgroups — too many to draw. Only its 119 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. #17986530 | C2 | semidirect |
| 2. C2×#14556090 | C2 | semidirect |
| 3. #17986334 | C2 | semidirect |
| 4. #17986298 | C2 | semidirect |
| 5. #17986213 | C2 | semidirect |
| 6. #17986152 | C2 | semidirect |
| 8. #17986086 | C2 | semidirect |
| 9. #17986079 | C2 | semidirect |
| 10. #17986049 | C2 | semidirect |
| 11. #481×C71 | C2 | semidirect |
| 17. #14556119 | C22 | semidirect |
| 18. #14556115 | C22 | semidirect |
| 21. #14556093 | C22 | semidirect |
| 23. D4×Dic71 | C22 | semidirect |
| 31. #14556061 | C22 | semidirect |
| 32. Dic71⋊C8 | C22 | semidirect |
| 33. #14556051 | C22 | semidirect |
| 37. C8×Dic71 | C22 | semidirect |
| 40. #106×C71 | C22 | semidirect |
| 41. #102×C71 | C22 | semidirect |
| 141. C71 | #3105 | semidirect |
| 145. #481 | D71 | semidirect |
| 175. #106 | C2×D71 | semidirect |
| 180. #102 | C2×D71 | semidirect |