Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
420 conjugacy classes of subgroups; only the 139 normal subgroups are shown.
This group has 420 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 |
|---|---|---|
| 1. D4×Dic142 | C2 | semidirect |
| 3. #17986350 | C2 | semidirect |
| 4. #17986330 | C2 | semidirect |
| 5. #17986285 | C2 | semidirect |
| 6. #17986228 | C2 | semidirect |
| 7. #17986205 | C2 | semidirect |
| 8. #17986140 | C2 | semidirect |
| 9. C4×#11765854 | C2 | semidirect |
| 10. C2×#14556053 | C2 | semidirect |
| 11. C8×D4×C71 | C2 | semidirect |
| 79. D4×C71 | SD16 | semidirect |
| 102. Dic142 | #41 | semidirect |
| 129. C71 | #3298 | semidirect |
| 139. C8×D4 | D71 | semidirect |
| 217. D4 | #11765854 | semidirect |