Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
292 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 292 conjugacy classes of subgroups — too many to draw. Only its 83 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×#14556063 | C2 | semidirect |
| 3. C2×#14556055 | C2 | semidirect |
| 4. C2×#14556054 | C2 | semidirect |
| 5. #17985965 | C2 | semidirect |
| 6. C2×#14556038 | C2 | semidirect |
| 7. #408×C71 | C2 | semidirect |
| 11. C2×#11765855 | C4 | semidirect |
| 12. C2×#11765853 | C4 | semidirect |
| 13. C2×#11765852 | C4 | semidirect |
| 14. C2×#11765850 | C4 | semidirect |
| 120. C71 | #1975 | semidirect |
| 126. #408 | D71 | semidirect |