Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
354 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 354 conjugacy classes of subgroups — too many to draw. Only its 115 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 |
|---|---|---|
| 2. #19099273 | C2 | semidirect |
| 3. #19098966 | C2 | semidirect |
| 4. #19098902 | C2 | semidirect |
| 5. #19098878 | C2 | semidirect |
| 6. #19098854 | C2 | semidirect |
| 7. #19098812 | C2 | semidirect |
| 8. C4×#11929611 | C2 | semidirect |
| 9. #19098640 | C2 | semidirect |
| 10. #19098604 | C2 | semidirect |
| 11. #477×C79 | C2 | semidirect |
| 122. C79 | #3357 | semidirect |
| 128. #477 | D79 | semidirect |