Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
392 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 392 conjugacy classes of subgroups — too many to draw. Only its 121 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. #19099113 | C2 | semidirect |
| 2. #19099097 | C2 | semidirect |
| 3. #19098864 | C2 | semidirect |
| 4. #19098849 | C2 | semidirect |
| 5. #19098844 | C2 | semidirect |
| 6. #19098816 | C2 | semidirect |
| 7. #19098809 | C2 | semidirect |
| 8. #19098779 | C2 | semidirect |
| 9. #19098764 | C2 | semidirect |
| 10. #19098759 | C2 | semidirect |
| 11. #423×C79 | C2 | semidirect |
| 142. C79 | #3251 | semidirect |
| 153. #423 | D79 | semidirect |