Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
374 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 374 conjugacy classes of subgroups — too many to draw. Only its 117 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. #17986342 | C2 | semidirect |
| 5. #17986284 | C2 | semidirect |
| 6. #17986256 | C2 | semidirect |
| 7. #17986209 | C2 | semidirect |
| 8. #17986153 | C2 | semidirect |
| 10. #17986006 | C2 | semidirect |
| 11. C4×Q16×C71 | C2 | semidirect |
| 122. C71 | #3328 | semidirect |
| 131. C4×Q16 | D71 | semidirect |