Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
472 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 472 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. C2×#14556158 | C2 | semidirect |
| 2. C2×#14556134 | C2 | semidirect |
| 4. #17986575 | C2 | semidirect |
| 5. #17986256 | C2 | semidirect |
| 6. #17986244 | C2 | semidirect |
| 7. #17986239 | C2 | semidirect |
| 8. #17986227 | C2 | semidirect |
| 9. #17986042 | C2 | semidirect |
| 10. C2×#14556053 | C2 | semidirect |
| 11. #416×C71 | C2 | semidirect |
| 58. #11765849 | D4 | semidirect |
| 144. C71 | #3063 | semidirect |
| 154. #416 | D71 | semidirect |