Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
380 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 380 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. #17986536 | C2 | semidirect |
| 2. #17986400 | C2 | semidirect |
| 3. #17986384 | C2 | semidirect |
| 4. #17986355 | C2 | semidirect |
| 5. #17986237 | C2 | semidirect |
| 7. #17986231 | C2 | semidirect |
| 8. C4×#11765852 | C2 | semidirect |
| 9. C4×D568 | C2 | semidirect |
| 10. C4×C8×D71 | C2 | semidirect |
| 11. C4×Q16×C71 | C2 | semidirect |
| 119. C71 | #3168 | semidirect |
| 127. C4×Q16 | D71 | semidirect |