Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
388 conjugacy classes of subgroups; only the 139 normal subgroups are shown.
This group has 388 conjugacy classes of subgroups — too many to draw. Only its 139 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 |
|---|---|---|
| 2. #17986351 | C2 | semidirect |
| 3. #17986334 | C2 | semidirect |
| 4. #17986291 | C2 | semidirect |
| 5. #17986238 | C2 | semidirect |
| 6. #17986209 | C2 | semidirect |
| 7. #17986154 | C2 | semidirect |
| 8. C4×#11765855 | C2 | semidirect |
| 10. C2×#14556051 | C2 | semidirect |
| 80. D4×C71 | Q16 | semidirect |
| 123. C71 | #3299 | semidirect |
| 208. D4 | #11765855 | semidirect |