Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
404 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 404 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. #17986727 | C2 | semidirect |
| 3. #17986372 | C2 | semidirect |
| 4. #17986370 | C2 | semidirect |
| 5. #17986204 | C2 | semidirect |
| 6. #17986203 | C2 | semidirect |
| 7. #17986199 | C2 | semidirect |
| 8. #17986198 | C2 | semidirect |
| 9. C8×Dic142 | C2 | semidirect |
| 10. #17986086 | C2 | semidirect |
| 11. C4×SD16×C71 | C2 | semidirect |
| 102. Dic142 | SD16 | semidirect |
| 104. C8×C71 | #41 | semidirect |
| 129. C71 | #3392 | semidirect |
| 140. C4×SD16 | D71 | semidirect |
| 234. C8 | #11765865 | semidirect |