Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
484 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 149 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×#14556150 | C2 | semidirect |
| 2. #17986577 | C2 | semidirect |
| 3. #17986257 | C2 | semidirect |
| 4. #17986252 | C2 | semidirect |
| 5. #17986228 | C2 | semidirect |
| 6. C2×#14556060 | C2 | semidirect |
| 7. #17986001 | C2 | semidirect |
| 8. C2×#131×C71 | C2 | semidirect |
| 56. C2×C8×C71 | D4 | semidirect |
| 106. C71 | #3060 | semidirect |
| 108. C2×#131 | D71 | semidirect |
| 157. C2×C8 | C22⋊D71 | semidirect |