Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
360 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 115 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. #17986721 | C2 | semidirect |
| 4. #17986377 | C2 | semidirect |
| 5. #17986224 | C2 | semidirect |
| 6. #17986221 | C2 | semidirect |
| 7. #17986203 | C2 | semidirect |
| 8. C8×Dic142 | C2 | semidirect |
| 9. #17986093 | C2 | semidirect |
| 11. C4×Q16×C71 | C2 | semidirect |
| 115. C71 | #3393 | semidirect |
| 125. C4×Q16 | D71 | semidirect |