Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
596 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 596 conjugacy classes of subgroups — too many to draw. Only its 149 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×#14556154 | C2 | semidirect |
| 2. C2×#14556153 | C2 | semidirect |
| 3. C2×#14556148 | C2 | semidirect |
| 4. C22×#11765850 | C2 | semidirect |
| 5. #17986568 | C2 | semidirect |
| 6. #17986389 | C2 | semidirect |
| 7. #17986386 | C2 | semidirect |
| 8. #17986381 | C2 | semidirect |
| 9. #17986375 | C2 | semidirect |
| 10. #17985955 | C2 | semidirect |
| 11. #535×C71 | C2 | semidirect |
| 17. C2×#11765855 | C22 | semidirect |
| 18. C2×#11765853 | C22 | semidirect |
| 19. C2×#11765853 | C22 | semidirect |
| 20. C2×#11765852 | C22 | semidirect |
| 21. C2×#11765852 | C22 | semidirect |
| 25. C2×#11765850 | C22 | semidirect |
| 26. C2×#11765850 | C22 | semidirect |
| 27. C2×#11765850 | C22 | semidirect |
| 30. #14556125 | C22 | semidirect |
| 31. #14556116 | C22 | semidirect |
| 34. #14556039 | C22 | semidirect |
| 35. C4×C71⋊C8 | C22 | semidirect |
| 38. #127×C71 | C22 | semidirect |
| 39. #124×C71 | C22 | semidirect |
| 65. #11765849 | D4 | semidirect |
| 66. C2×C71⋊C8 | D4 | semidirect |
| 154. C71 | #3155 | semidirect |
| 160. #535 | D71 | semidirect |
| 187. #127 | C2×D71 | semidirect |
| 189. #124 | C2×D71 | semidirect |