Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
524 conjugacy classes of subgroups; only the 127 normal subgroups are shown.
This group has 524 conjugacy classes of subgroups — too many to draw. Only its 127 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. C2×D8×D71 | C2 | semidirect |
| 2. C2×#14556136 | C2 | semidirect |
| 3. #17986565 | C2 | semidirect |
| 4. #17986253 | C2 | semidirect |
| 5. #17986252 | C2 | semidirect |
| 6. #17986249 | C2 | semidirect |
| 7. #17986234 | C2 | semidirect |
| 8. #17986233 | C2 | semidirect |
| 9. #17986034 | C2 | semidirect |
| 10. #17986002 | C2 | semidirect |
| 11. #469×C71 | C2 | semidirect |
| 19. C2×#11765848 | C22 | semidirect |
| 20. C22×C71⋊C8 | C22 | semidirect |
| 22. C2×C8×D71 | C22 | semidirect |
| 25. #14556103 | C22 | semidirect |
| 26. #14556102 | C22 | semidirect |
| 27. #14556099 | C22 | semidirect |
| 31. #14556061 | C22 | semidirect |
| 32. #14556060 | C22 | semidirect |
| 33. #14556050 | C22 | semidirect |
| 34. #14556049 | C22 | semidirect |
| 35. #14556048 | C22 | semidirect |
| 37. C2×M16×C71 | C22 | semidirect |
| 38. #121×C71 | C22 | semidirect |
| 39. #106×C71 | C22 | semidirect |
| 40. #102×C71 | C22 | semidirect |
| 65. C8×D71 | D4 | semidirect |
| 147. C71 | #3058 | semidirect |
| 154. #469 | D71 | semidirect |
| 168. C2×M16 | C2×D71 | semidirect |
| 177. #121 | C2×D71 | semidirect |
| 183. #106 | C2×D71 | semidirect |
| 187. #102 | C2×D71 | semidirect |