Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
472 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 472 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. C2×#14556159 | C2 | semidirect |
| 2. C2×#14556135 | C2 | semidirect |
| 4. #17986255 | C2 | semidirect |
| 5. #17986247 | C2 | semidirect |
| 6. #17986238 | C2 | semidirect |
| 7. #17986230 | C2 | semidirect |
| 8. #17986042 | C2 | semidirect |
| 9. #17985993 | C2 | semidirect |
| 10. C2×#14556052 | C2 | semidirect |
| 11. #536×C71 | C2 | semidirect |
| 54. #11765849 | D4 | semidirect |
| 144. C71 | #3063 | semidirect |
| 148. #536 | D71 | semidirect |