Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
488 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 488 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×#14556156 | C2 | semidirect |
| 2. C2×#14556154 | C2 | semidirect |
| 3. C22×#11765850 | C2 | semidirect |
| 4. C2×#14556136 | C2 | semidirect |
| 5. #17986268 | C2 | direct (N × H) |
| 6. C2×#14556063 | C2 | semidirect |
| 7. C2×#14556044 | C2 | semidirect |
| 8. C2×#100×C71 | C2 | semidirect |
| 12. #14556156 | C22 | semidirect |
| 14. #14556154 | C22 | semidirect |
| 22. C2×#11765850 | C22 | semidirect |
| 24. #14556136 | C22 | semidirect |
| 29. #14556063 | C22 | semidirect |
| 30. #14556044 | C22 | semidirect |
| 34. #100×C71 | C22 | semidirect |
| 139. C2×C71 | #472 | semidirect |
| 144. C71 | C2×#472 | semidirect |
| 152. C2×#100 | D71 | semidirect |
| 178. #100 | C2×D71 | semidirect |
| 285. C2 | #17986268 | direct (N × H) |