Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
340 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 340 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 |
|---|---|---|
| 1. #17986727 | C2 | semidirect |
| 3. #17986366 | C2 | semidirect |
| 4. #17986350 | C2 | semidirect |
| 5. #17986309 | C2 | semidirect |
| 6. #17986294 | C2 | semidirect |
| 9. #17986129 | C2 | semidirect |
| 117. C71 | #3372 | semidirect |