Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
398 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 398 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. #17986627 | C2 | semidirect |
| 3. #17986302 | C2 | semidirect |
| 4. #17986298 | C2 | semidirect |
| 5. #17986288 | C2 | semidirect |
| 6. #17986278 | C2 | semidirect |
| 7. #17986042 | C2 | semidirect |
| 8. #17986025 | C2 | semidirect |
| 11. #427×C71 | C2 | semidirect |
| 15. #14556127 | C22 | semidirect |
| 17. #14556119 | C22 | semidirect |
| 26. #14556061 | C22 | semidirect |
| 27. #14556059 | C22 | semidirect |
| 28. Dic71⋊C8 | C22 | semidirect |
| 29. Dic71⋊C8 | C22 | semidirect |
| 37. #107×C71 | C22 | semidirect |
| 38. #107×C71 | C22 | semidirect |
| 39. #106×C71 | C22 | semidirect |
| 40. #106×C71 | C22 | semidirect |
| 45. C2×D284 | Q8 | semidirect |
| 125. C71 | #3081 | semidirect |
| 133. #427 | D71 | semidirect |
| 155. #107 | C2×D71 | semidirect |
| 156. #107 | C2×D71 | semidirect |
| 158. #106 | C2×D71 | semidirect |
| 159. #106 | C2×D71 | semidirect |