Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
388 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 388 conjugacy classes of subgroups — too many to draw. Only its 125 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 |
|---|---|---|
| 3. #17986350 | C2 | semidirect |
| 4. #17986336 | C2 | semidirect |
| 5. #17986294 | C2 | semidirect |
| 6. #17986239 | C2 | semidirect |
| 7. #17986209 | C2 | semidirect |
| 8. #17986153 | C2 | semidirect |
| 10. #103×D71 | C2 | semidirect |
| 11. C4×Q16×C71 | C2 | semidirect |
| 91. D284 | Q16 | semidirect |
| 123. C71 | #3299 | semidirect |
| 132. C4×Q16 | D71 | semidirect |