Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
462 conjugacy classes of subgroups; only the 139 normal subgroups are shown.
This group has 462 conjugacy classes of subgroups — too many to draw. Only its 139 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. #17986706 | C2 | semidirect |
| 3. #17986346 | C2 | semidirect |
| 4. #17986318 | C2 | semidirect |
| 5. #17986290 | C2 | semidirect |
| 6. #17986228 | C2 | semidirect |
| 7. #17986200 | C2 | semidirect |
| 8. #17986152 | C2 | semidirect |
| 9. C4×#11765854 | C2 | semidirect |
| 10. C2×#14556050 | C2 | semidirect |
| 11. C8×D4×C71 | C2 | semidirect |
| 15. C2×#11765854 | C22 | semidirect |
| 16. #14556128 | C22 | semidirect |
| 19. #14556107 | C22 | semidirect |
| 24. C4×Dic142 | C22 | semidirect |
| 27. C2×C4⋊Dic71 | C22 | semidirect |
| 28. #14556060 | C22 | semidirect |
| 29. #14556060 | C22 | semidirect |
| 30. #14556053 | C22 | semidirect |
| 33. #14556050 | C22 | semidirect |
| 34. #14556050 | C22 | semidirect |
| 35. #14556050 | C22 | semidirect |
| 36. C22×C8×C71 | C22 | semidirect |
| 38. C4⋊C8×C71 | C22 | semidirect |
| 39. C22⋊C8×C71 | C22 | semidirect |
| 40. C4×C8×C71 | C22 | semidirect |
| 83. D4×C71 | SD16 | semidirect |
| 137. C71 | #3295 | semidirect |
| 147. C8×D4 | D71 | semidirect |
| 153. C22×C8 | C2×D71 | semidirect |
| 169. C4⋊C8 | C2×D71 | semidirect |
| 176. C22⋊C8 | C2×D71 | semidirect |
| 177. C4×C8 | C2×D71 | semidirect |
| 231. D4 | #11765854 | semidirect |