Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
376 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 376 conjugacy classes of subgroups — too many to draw. Only its 133 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. #17986627 | C2 | semidirect |
| 3. #17986305 | C2 | semidirect |
| 4. #17986302 | C2 | semidirect |
| 5. #17986288 | C2 | semidirect |
| 6. #17986283 | C2 | semidirect |
| 7. C2×#14556059 | C2 | semidirect |
| 8. #17986027 | C2 | semidirect |
| 11. #428×C71 | C2 | semidirect |
| 42. #11765865 | Q8 | semidirect |
| 124. C71 | #3084 | semidirect |
| 131. #428 | D71 | semidirect |