Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
376 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 376 conjugacy classes of subgroups — too many to draw. Only its 141 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. #17986630 | C2 | semidirect |
| 3. #17986308 | C2 | semidirect |
| 4. #17986297 | C2 | semidirect |
| 5. #17986287 | C2 | semidirect |
| 6. #17986282 | C2 | semidirect |
| 7. #17986041 | C2 | semidirect |
| 8. C2×#14556059 | C2 | semidirect |
| 9. #17986027 | C2 | semidirect |
| 64. #41×C71 | Q8 | semidirect |
| 124. C71 | #3084 | semidirect |
| 166. #41 | Dic142 | semidirect |