Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
472 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 472 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×#11765855 | C2 | semidirect |
| 3. #17986378 | C2 | semidirect |
| 4. #17986238 | C2 | semidirect |
| 5. #17986209 | C2 | semidirect |
| 6. #17986206 | C2 | semidirect |
| 7. #17986155 | C2 | semidirect |
| 8. #17986154 | C2 | semidirect |
| 9. C4×#11765855 | C2 | semidirect |
| 52. #11765855 | D4 | direct (N × H) |
| 88. D4×C71 | Q16 | semidirect |
| 113. C22×C71 | C2×Q16 | semidirect |
| 120. C4×C71 | C2×Q16 | semidirect |
| 131. C71 | D4×Q16 | semidirect |
| 224. D4 | #11765855 | direct (N × H) |
| 244. C22 | C2×#11765855 | semidirect |
| 254. C4 | C2×#11765855 | semidirect |