Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
494 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 494 conjugacy classes of subgroups — too many to draw. Only its 125 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. #17986654 | C2 | semidirect |
| 2. D4×D284 | C2 | semidirect |
| 3. #17986346 | C2 | semidirect |
| 4. #17986314 | C2 | semidirect |
| 5. #17986279 | C2 | semidirect |
| 6. #17986234 | C2 | semidirect |
| 7. #17986194 | C2 | semidirect |
| 8. #17986131 | C2 | semidirect |
| 9. C8×D284 | C2 | semidirect |
| 10. #102×D71 | C2 | semidirect |
| 11. C4×D8×C71 | C2 | semidirect |
| 15. C2×#11765850 | C22 | semidirect |
| 16. C2×C8×D71 | C22 | semidirect |
| 17. #14556128 | C22 | semidirect |
| 23. #14556099 | C22 | semidirect |
| 26. C4⋊C4×D71 | 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 |
| 36. C4×D4×C71 | C22 | semidirect |
| 37. #107×C71 | C22 | semidirect |
| 39. #102×C71 | C22 | semidirect |
| 40. C4×C8×C71 | C22 | semidirect |
| 88. D4×C71 | #41 | semidirect |
| 105. D284 | D8 | semidirect |
| 143. C71 | #3294 | semidirect |
| 152. C4×D8 | D71 | semidirect |
| 171. C4×D4 | C2×D71 | semidirect |
| 174. #107 | C2×D71 | semidirect |
| 181. #102 | C2×D71 | semidirect |
| 183. C4×C8 | C2×D71 | semidirect |
| 240. D4 | #11765865 | semidirect |