Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
532 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 532 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 |
|---|---|---|
| 1. #17986544 | C2 | semidirect |
| 2. C2×#14556124 | C2 | semidirect |
| 3. #17986374 | C2 | semidirect |
| 4. #17986344 | C2 | semidirect |
| 5. #17986193 | C2 | semidirect |
| 6. #17986192 | C2 | semidirect |
| 7. #17986135 | C2 | semidirect |
| 8. #17986133 | C2 | semidirect |
| 9. #17986132 | C2 | semidirect |
| 10. #17986049 | C2 | semidirect |
| 11. #447×C71 | C2 | semidirect |
| 16. C2×D568 | C22 | semidirect |
| 17. C2×#11765850 | C22 | semidirect |
| 18. C2×#11765850 | C22 | semidirect |
| 19. #14556127 | C22 | semidirect |
| 24. #14556124 | C22 | semidirect |
| 28. D4×Dic71 | C22 | semidirect |
| 29. #14556090 | C22 | semidirect |
| 32. Dic71⋊C8 | C22 | semidirect |
| 33. #14556050 | C22 | semidirect |
| 34. #14556049 | C22 | semidirect |
| 35. #14556048 | C22 | semidirect |
| 37. C8×Dic71 | C22 | semidirect |
| 39. C2×D8×C71 | C22 | semidirect |
| 41. #102×C71 | C22 | semidirect |
| 117. C2×Dic71 | D8 | semidirect |
| 165. C71 | #3205 | semidirect |
| 175. #447 | D71 | semidirect |
| 185. C2×D8 | C2×D71 | semidirect |
| 204. #102 | C2×D71 | semidirect |