Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
352 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 352 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. #17986709 | C2 | semidirect |
| 2. #17986404 | C2 | semidirect |
| 3. #17986401 | C2 | semidirect |
| 4. #17986300 | C2 | semidirect |
| 5. #17986290 | C2 | semidirect |
| 8. C8×Q8×C71 | C2 | semidirect |
| 32. D568 | Q8 | semidirect |
| 82. C71 | #3380 | semidirect |
| 88. C8×Q8 | D71 | semidirect |