Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
390 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 390 conjugacy classes of subgroups — too many to draw. Only its 123 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. #17986327 | C2 | semidirect |
| 5. #17986308 | C2 | semidirect |
| 6. #17986223 | C2 | semidirect |
| 8. Q16×Dic71 | C2 | semidirect |
| 9. #17986084 | C2 | semidirect |
| 10. #17986049 | C2 | semidirect |
| 11. #451×C71 | C2 | semidirect |
| 132. C71 | #3108 | semidirect |
| 139. #451 | D71 | semidirect |