Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
472 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 472 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×#14556158 | C2 | semidirect |
| 2. D4×Dic142 | C2 | semidirect |
| 3. #17986378 | C2 | semidirect |
| 4. #17986255 | C2 | semidirect |
| 5. #17986206 | C2 | semidirect |
| 6. #17986204 | C2 | semidirect |
| 7. #17986161 | C2 | semidirect |
| 8. #17986154 | C2 | semidirect |
| 9. C4×#11765853 | C2 | semidirect |
| 10. #17986077 | C2 | semidirect |
| 52. #11765853 | D4 | semidirect |
| 123. C4×C71 | #137 | semidirect |
| 135. C71 | #3276 | semidirect |
| 261. C4 | #14556158 | semidirect |