Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
504 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 504 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. C2×#14556156 | C2 | semidirect |
| 2. C2×#14556148 | C2 | semidirect |
| 3. #17986563 | C2 | semidirect |
| 4. #17986480 | C2 | semidirect |
| 5. #17986224 | C2 | semidirect |
| 6. #17986217 | C2 | semidirect |
| 7. #17986198 | C2 | semidirect |
| 8. #17986193 | C2 | semidirect |
| 9. #17986027 | C2 | semidirect |
| 10. C2×#14556048 | C2 | semidirect |
| 11. #417×C71 | C2 | semidirect |
| 16. C2×#11765855 | C22 | semidirect |
| 18. C2×#11765853 | C22 | semidirect |
| 19. C2×#11765852 | C22 | semidirect |
| 21. C2×#11765850 | C22 | semidirect |
| 28. #14556093 | C22 | semidirect |
| 29. #14556090 | C22 | semidirect |
| 34. Dic71⋊C8 | C22 | semidirect |
| 35. Dic71⋊C8 | C22 | semidirect |
| 41. #103×C71 | C22 | semidirect |
| 42. #102×C71 | C22 | semidirect |
| 45. #11765865 | D4 | semidirect |
| 155. C71 | #3045 | semidirect |
| 165. #417 | D71 | semidirect |
| 194. #103 | C2×D71 | semidirect |
| 197. #102 | C2×D71 | semidirect |