Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
504 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 504 conjugacy classes of subgroups — too many to draw. Only its 141 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×#14556156 | C2 | semidirect |
| 2. C2×#14556136 | C2 | semidirect |
| 3. #17986580 | C2 | semidirect |
| 4. #17986568 | C2 | semidirect |
| 5. #17986253 | C2 | semidirect |
| 6. #17986246 | C2 | semidirect |
| 7. #17986236 | C2 | semidirect |
| 8. #17986229 | C2 | semidirect |
| 9. #17985993 | C2 | semidirect |
| 10. C2×#14556048 | C2 | semidirect |
| 11. #428×C71 | C2 | semidirect |
| 19. C2×#11765848 | C22 | semidirect |
| 21. C2×C8×D71 | C22 | semidirect |
| 25. #14556108 | C22 | semidirect |
| 29. #14556103 | C22 | semidirect |
| 32. #14556051 | C22 | semidirect |
| 33. #14556051 | C22 | semidirect |
| 36. #14556048 | C22 | semidirect |
| 37. #14556048 | C22 | semidirect |
| 41. #107×C71 | C22 | semidirect |
| 42. #106×C71 | C22 | semidirect |
| 77. M16×C71 | D4 | semidirect |
| 152. C71 | #3062 | semidirect |
| 161. #428 | D71 | semidirect |
| 187. #107 | C2×D71 | semidirect |
| 188. #106 | C2×D71 | semidirect |
| 220. M16 | D284 | semidirect |