Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
500 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 500 conjugacy classes of subgroups — too many to draw. Only its 133 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×#14556161 | C2 | semidirect |
| 3. C2×#14556115 | C2 | semidirect |
| 4. #17986467 | C2 | semidirect |
| 5. #17986220 | C2 | semidirect |
| 6. #17986213 | C2 | semidirect |
| 7. #17986022 | C2 | semidirect |
| 8. #17986007 | C2 | semidirect |
| 9. #418×C71 | C2 | semidirect |
| 14. C2×Dic284 | C22 | semidirect |
| 15. C2×#11765854 | C22 | semidirect |
| 22. #14556093 | C22 | semidirect |
| 23. #14556090 | C22 | semidirect |
| 29. Dic71⋊C8 | C22 | semidirect |
| 30. #14556051 | C22 | semidirect |
| 126. C71 | #3040 | semidirect |
| 135. #418 | D71 | semidirect |