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 |
|---|---|---|
| 3. #17986350 | C2 | semidirect |
| 4. #17986335 | C2 | semidirect |
| 5. #17986295 | C2 | semidirect |
| 6. #17986240 | C2 | semidirect |
| 7. #17986210 | C2 | semidirect |
| 8. #17986157 | C2 | semidirect |
| 9. C4×Dic284 | C2 | semidirect |
| 10. C2×#14556053 | C2 | semidirect |
| 77. D4×C71 | Q16 | semidirect |
| 123. C71 | #3299 | semidirect |
| 208. D4 | Dic284 | semidirect |