Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
300 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 300 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×#14556056 | C2 | semidirect |
| 4. #17985967 | C2 | semidirect |
| 5. #17985966 | C2 | semidirect |
| 6. C2×C4×C71⋊C8 | C2 | semidirect |
| 7. C2×#104×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 | #1974 | semidirect |
| 124. C2×#104 | D71 | semidirect |