Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
500 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 500 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×#14556150 | C2 | semidirect |
| 2. C22×#11765848 | C2 | semidirect |
| 3. #17986511 | C2 | semidirect |
| 4. #17986258 | C2 | semidirect |
| 5. #17986253 | C2 | semidirect |
| 6. #17986246 | C2 | semidirect |
| 7. #17985993 | C2 | semidirect |
| 8. #427×C71 | C2 | semidirect |
| 12. C2×Dic284 | C22 | semidirect |
| 13. C2×#11765854 | C22 | semidirect |
| 14. C2×D568 | C22 | semidirect |
| 24. #14556051 | C22 | semidirect |
| 25. #14556048 | C22 | semidirect |
| 28. #107×C71 | C22 | semidirect |
| 29. #106×C71 | C22 | semidirect |
| 54. C2×C8×C71 | D4 | semidirect |
| 106. C71 | #3054 | semidirect |
| 113. #427 | D71 | semidirect |
| 132. #107 | C2×D71 | semidirect |
| 133. #106 | C2×D71 | semidirect |
| 157. C2×C8 | D284 | semidirect |