Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
492 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 492 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. C22×#11765854 | C2 | semidirect |
| 2. #17986570 | C2 | semidirect |
| 4. #17986245 | C2 | semidirect |
| 5. #17986228 | C2 | semidirect |
| 6. #17986037 | C2 | semidirect |
| 7. #17986009 | C2 | semidirect |
| 8. #17986005 | C2 | semidirect |
| 9. C2×#131×C71 | C2 | semidirect |
| 20. #14556107 | C22 | semidirect |
| 25. #14556062 | C22 | semidirect |
| 26. #14556060 | C22 | semidirect |
| 27. #14556053 | C22 | semidirect |
| 32. C2×M16×C71 | C22 | semidirect |
| 34. C22×C8×C71 | C22 | semidirect |
| 67. C2×C8×C71 | D4 | semidirect |
| 121. C71 | #3057 | semidirect |
| 123. C2×#131 | D71 | semidirect |
| 139. C2×M16 | C2×D71 | semidirect |
| 141. C22×C8 | C2×D71 | semidirect |
| 179. C2×C8 | C22⋊D71 | semidirect |