Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
256 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 256 conjugacy classes of subgroups — too many to draw. Only its 63 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 |
|---|---|---|
| 2. #17986053 | C2 | semidirect |
| 3. #17986049 | C2 | semidirect |
| 4. #17985723 | C2 | semidirect |
| 5. #17985722 | C2 | semidirect |
| 6. #17985722 | C2 | semidirect |
| 7. #323×C71 | C2 | semidirect |
| 120. C71 | #1469 | semidirect |
| 127. #323 | D71 | semidirect |