Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
388 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 388 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. #19099168 | C2 | semidirect |
| 2. #19098953 | C2 | semidirect |
| 3. #19098937 | C2 | semidirect |
| 4. #19098931 | C2 | semidirect |
| 5. #19098917 | C2 | semidirect |
| 6. #19098775 | C2 | semidirect |
| 7. #19098765 | C2 | semidirect |
| 8. #19098708 | C2 | semidirect |
| 9. #19098702 | C2 | semidirect |
| 10. #19098624 | C2 | semidirect |
| 11. #536×C79 | C2 | semidirect |
| 121. C79 | #3221 | semidirect |
| 123. #536 | D79 | semidirect |