Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
388 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 388 conjugacy classes of subgroups — too many to draw. Only its 109 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. #19099167 | C2 | semidirect |
| 2. #19099138 | C2 | semidirect |
| 3. #19098950 | C2 | semidirect |
| 4. #19098931 | C2 | semidirect |
| 5. #19098918 | C2 | semidirect |
| 6. #19098780 | C2 | semidirect |
| 7. #19098766 | C2 | semidirect |
| 8. #19098707 | C2 | semidirect |
| 9. #19098700 | C2 | semidirect |
| 10. #19098622 | C2 | semidirect |
| 11. #492×C79 | C2 | semidirect |
| 121. C79 | #3221 | semidirect |
| 125. #492 | D79 | semidirect |