Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
448 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 448 conjugacy classes of subgroups — too many to draw. Only its 123 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 |
|---|---|---|
| 2. #17986347 | C2 | semidirect |
| 3. #17986323 | C2 | semidirect |
| 4. #17986276 | C2 | semidirect |
| 5. #17986247 | C2 | semidirect |
| 6. #17986199 | C2 | semidirect |
| 7. #17986149 | C2 | semidirect |
| 8. C4×#11765852 | C2 | semidirect |
| 9. #17986077 | C2 | semidirect |
| 10. #17986003 | C2 | semidirect |
| 11. #556×C71 | C2 | semidirect |
| 15. C2×#11765852 | C22 | semidirect |
| 16. C2×#11765849 | C22 | semidirect |
| 22. #14556061 | C22 | semidirect |
| 23. #14556059 | C22 | semidirect |
| 24. C4⋊(C71⋊C8) | C22 | semidirect |
| 25. #14556052 | C22 | semidirect |
| 28. #14556048 | C22 | semidirect |
| 29. #14556048 | C22 | semidirect |
| 30. #14556048 | C22 | semidirect |
| 31. C22⋊(C71⋊C8) | C22 | semidirect |
| 32. C4×C71⋊C8 | C22 | semidirect |
| 33. C4⋊Q8×C71 | C22 | semidirect |
| 36. C22⋊Q8×C71 | C22 | semidirect |
| 38. C4×Q8×C71 | C22 | semidirect |
| 40. #117×C71 | C22 | semidirect |
| 136. C71 | #3324 | semidirect |
| 137. #556 | D71 | semidirect |
| 153. C4⋊Q8 | C2×D71 | semidirect |
| 157. C22⋊Q8 | C2×D71 | semidirect |
| 162. C4×Q8 | C2×D71 | semidirect |
| 165. #117 | C2×D71 | semidirect |