Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
436 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 436 conjugacy classes of subgroups — too many to draw. Only its 121 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. #17986278 | C2 | semidirect |
| 3. #17986277 | C2 | semidirect |
| 4. #17986235 | C2 | semidirect |
| 5. #17986233 | C2 | semidirect |
| 6. #17986193 | C2 | semidirect |
| 7. #17986192 | C2 | semidirect |
| 8. C2×Dic71⋊C8 | C2 | semidirect |
| 9. #466×C71 | C2 | semidirect |
| 82. C2×Dic71 | D8 | semidirect |
| 116. C71 | #3245 | semidirect |
| 122. #466 | D71 | semidirect |