Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
548 conjugacy classes of subgroups; only the 135 normal subgroups are shown.
This group has 548 conjugacy classes of subgroups — too many to draw. Only its 135 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. C2×#14556156 | C2 | semidirect |
| 2. C2×#14556153 | C2 | semidirect |
| 3. #17986545 | C2 | semidirect |
| 4. C2×#14556090 | C2 | semidirect |
| 5. #17986217 | C2 | semidirect |
| 6. #17986213 | C2 | semidirect |
| 7. #17986203 | C2 | semidirect |
| 8. #17986193 | C2 | semidirect |
| 9. #17986022 | C2 | semidirect |
| 10. #17985998 | C2 | semidirect |
| 11. #417×C71 | C2 | semidirect |
| 22. #14556126 | C22 | semidirect |
| 23. #14556124 | C22 | semidirect |
| 24. #14556117 | C22 | semidirect |
| 25. #14556115 | C22 | semidirect |
| 36. Dic71⋊C8 | C22 | semidirect |
| 37. Dic71⋊C8 | C22 | semidirect |
| 38. #14556051 | C22 | semidirect |
| 39. #14556048 | C22 | semidirect |
| 43. #103×C71 | C22 | semidirect |
| 44. #102×C71 | C22 | semidirect |
| 51. C2×D284 | D4 | semidirect |
| 158. Dic71 | AGL(1,ℤ/8) | semidirect |
| 167. C71 | #3036 | semidirect |
| 178. #417 | D71 | semidirect |
| 209. #103 | C2×D71 | semidirect |
| 211. #102 | C2×D71 | semidirect |