Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
400 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 400 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 |
|---|---|---|
| 1. #19099114 | C2 | semidirect |
| 2. #19099100 | C2 | semidirect |
| 3. #19098948 | C2 | semidirect |
| 4. #19098919 | C2 | semidirect |
| 5. #19098765 | C2 | semidirect |
| 6. #19098763 | C2 | semidirect |
| 7. #19098759 | C2 | semidirect |
| 8. #19098724 | C2 | semidirect |
| 9. #19098711 | C2 | semidirect |
| 10. #19098615 | C2 | semidirect |
| 11. #462×C79 | C2 | semidirect |
| 145. C79 | #3212 | semidirect |
| 150. #462 | D79 | semidirect |