Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
386 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 386 conjugacy classes of subgroups — too many to draw. Only its 121 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. C2×Q8×Dic71 | C2 | semidirect |
| 3. #17986332 | C2 | semidirect |
| 5. #17986304 | C2 | semidirect |
| 6. #17986223 | C2 | semidirect |
| 8. #17986106 | C2 | semidirect |
| 9. #17986102 | C2 | semidirect |
| 10. #17986053 | C2 | semidirect |
| 11. #451×C71 | C2 | semidirect |
| 132. C71 | #3117 | semidirect |
| 139. #451 | D71 | semidirect |