Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
400 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 400 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. #19098945 | C2 | semidirect |
| 3. #19098920 | C2 | semidirect |
| 4. #19098773 | C2 | semidirect |
| 5. #19098768 | C2 | semidirect |
| 6. #19098763 | C2 | semidirect |
| 7. #19098758 | C2 | semidirect |
| 8. #19098723 | C2 | semidirect |
| 9. #19098706 | C2 | semidirect |
| 10. #19098616 | C2 | semidirect |
| 11. #529×C79 | C2 | semidirect |
| 145. C79 | #3212 | semidirect |
| 147. #529 | D79 | semidirect |