Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
388 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 388 conjugacy classes of subgroups — too many to draw. Only its 141 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. #17986706 | C2 | semidirect |
| 3. #17986397 | C2 | semidirect |
| 4. #17986330 | C2 | semidirect |
| 5. #17986318 | C2 | semidirect |
| 6. #17986290 | C2 | semidirect |
| 7. #17986285 | C2 | semidirect |
| 8. #17986228 | C2 | semidirect |
| 9. C4×#11765854 | C2 | semidirect |
| 10. C2×#14556060 | C2 | semidirect |
| 11. C8×D4×C71 | C2 | semidirect |
| 76. D4×C71 | SD16 | semidirect |
| 100. C8×C71 | #41 | semidirect |
| 124. C71 | #3335 | semidirect |
| 134. C8×D4 | D71 | semidirect |
| 207. D4 | #11765854 | semidirect |
| 224. C8 | #11765864 | semidirect |