Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
360 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 113 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. #17986812 | C2 | semidirect |
| 2. #17986800 | C2 | semidirect |
| 3. #17986440 | C2 | semidirect |
| 4. #17986438 | C2 | semidirect |
| 5. #17986436 | C2 | semidirect |
| 6. #17986435 | C2 | semidirect |
| 7. #17986431 | C2 | semidirect |
| 8. #17986430 | C2 | semidirect |
| 9. SD32×D71 | C2 | semidirect |
| 10. #17986415 | C2 | semidirect |
| 11. C2×SD32×C71 | C2 | semidirect |
| 18. #14556151 | C22 | semidirect |
| 20. #14556150 | C22 | semidirect |
| 22. Q16×D71 | C22 | semidirect |
| 25. Dic568 | C22 | semidirect |
| 26. #14556074 | C22 | semidirect |
| 27. #14556073 | C22 | semidirect |
| 28. #14556073 | C22 | semidirect |
| 29. #14556072 | C22 | semidirect |
| 30. #14556071 | C22 | semidirect |
| 31. D1136 | C22 | semidirect |
| 32. #14556069 | C22 | semidirect |
| 33. #14556068 | C22 | semidirect |
| 34. #14556067 | C22 | semidirect |
| 35. C16×D71 | C22 | semidirect |
| 36. C2×Q16×C71 | C22 | semidirect |
| 38. SD32×C71 | C22 | semidirect |
| 39. SD32×C71 | C22 | semidirect |
| 40. C2×C16×C71 | C22 | semidirect |
| 127. C71 | #3416 | semidirect |
| 137. C2×SD32 | D71 | semidirect |
| 150. C2×Q16 | C2×D71 | semidirect |
| 160. SD32 | C2×D71 | semidirect |
| 161. SD32 | C2×D71 | semidirect |
| 167. C2×C16 | C2×D71 | semidirect |