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 |
|---|---|---|
| 2. #17986347 | C2 | semidirect |
| 3. #17986317 | C2 | semidirect |
| 4. #17986286 | C2 | semidirect |
| 5. #17986230 | C2 | semidirect |
| 6. #17986199 | C2 | semidirect |
| 7. #17986149 | C2 | semidirect |
| 8. C4×#11765852 | C2 | semidirect |
| 9. D4×C71⋊C8 | C2 | semidirect |
| 10. C2×#14556048 | C2 | semidirect |
| 11. #554×C71 | C2 | semidirect |
| 15. C2×#11765852 | C22 | semidirect |
| 16. C22×C71⋊C8 | C22 | semidirect |
| 22. #14556059 | 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 |
| 37. C4×Q8×C71 | C22 | semidirect |
| 40. C2×C4⋊C4×C71 | C22 | semidirect |
| 86. D4×C71 | SD16 | semidirect |
| 137. C71 | #3295 | semidirect |
| 138. #554 | D71 | semidirect |
| 154. C4⋊Q8 | C2×D71 | semidirect |
| 158. C22⋊Q8 | C2×D71 | semidirect |
| 162. C4×Q8 | C2×D71 | semidirect |
| 166. C2×C4⋊C4 | C2×D71 | semidirect |
| 231. D4 | #11765852 | semidirect |