Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
358 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 358 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. #17986306 | C2 | semidirect |
| 4. #17986209 | C2 | semidirect |
| 6. #17986104 | C2 | semidirect |
| 7. C4×#11765855 | C2 | semidirect |
| 96. C71 | #3127 | semidirect |