Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
368 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 368 conjugacy classes of subgroups — too many to draw. Only its 113 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 |
|---|---|---|
| 2. C2×#14556119 | C2 | semidirect |
| 3. #17986407 | C2 | semidirect |
| 4. #17986362 | C2 | semidirect |
| 5. #17986318 | C2 | semidirect |
| 6. #17986315 | C2 | semidirect |
| 7. #17986312 | C2 | semidirect |
| 8. #17986302 | C2 | semidirect |
| 9. #17986301 | C2 | semidirect |
| 10. #17986053 | C2 | semidirect |
| 11. #480×C71 | C2 | semidirect |
| 135. C71 | #3234 | semidirect |
| 143. #480 | D71 | semidirect |