Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
448 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 448 conjugacy classes of subgroups — too many to draw. Only its 117 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. #17986722 | C2 | semidirect |
| 3. #17986346 | C2 | semidirect |
| 4. #17986325 | C2 | semidirect |
| 5. #17986279 | C2 | semidirect |
| 6. #17986248 | C2 | semidirect |
| 7. #17986199 | C2 | semidirect |
| 8. #17986148 | C2 | semidirect |
| 9. #17986078 | C2 | semidirect |
| 10. #17986002 | C2 | semidirect |
| 11. C4×SD16×C71 | C2 | semidirect |
| 14. C2×#11765852 | C22 | semidirect |
| 15. C2×#11765848 | C22 | semidirect |
| 16. #14556128 | C22 | semidirect |
| 20. #14556104 | C22 | semidirect |
| 26. #14556086 | C22 | semidirect |
| 27. #14556061 | C22 | semidirect |
| 28. C4⋊(C71⋊C8) | C22 | semidirect |
| 29. #14556050 | C22 | semidirect |
| 30. #14556050 | C22 | semidirect |
| 32. #14556048 | C22 | semidirect |
| 33. (C2×D71)⋊C8 | C22 | semidirect |
| 35. C4×Q8×C71 | C22 | semidirect |
| 37. #106×C71 | C22 | semidirect |
| 38. #103×C71 | C22 | semidirect |
| 40. C4×C8×C71 | C22 | semidirect |
| 136. C71 | #3324 | semidirect |
| 145. C4×SD16 | D71 | semidirect |
| 162. C4×Q8 | C2×D71 | semidirect |
| 167. #106 | C2×D71 | semidirect |
| 169. #103 | C2×D71 | semidirect |
| 176. C4×C8 | C2×D71 | semidirect |