Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
362 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 362 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. #19099174 | C2 | semidirect |
| 3. #19098962 | C2 | semidirect |
| 4. #19098937 | C2 | semidirect |
| 5. #19098928 | C2 | semidirect |
| 6. #19098812 | C2 | semidirect |
| 7. #19098795 | C2 | semidirect |
| 8. #19098666 | C2 | semidirect |
| 9. #19098648 | C2 | semidirect |
| 10. #19098520 | C2 | semidirect |
| 11. #491×C79 | C2 | semidirect |
| 109. C79 | #3174 | semidirect |
| 114. #491 | D79 | semidirect |