Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
484 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 129 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. #19099116 | C2 | semidirect |
| 3. #19098926 | C2 | semidirect |
| 4. #19098908 | C2 | semidirect |
| 5. #19098569 | C2 | semidirect |
| 6. #19098568 | C2 | semidirect |
| 7. #19098567 | C2 | semidirect |
| 8. M16×Dic79 | C2 | semidirect |
| 9. #418×C79 | C2 | semidirect |
| 13. #14579160 | C22 | semidirect |
| 17. #14579152 | C22 | semidirect |
| 22. #14579083 | C22 | semidirect |
| 23. #14579082 | C22 | semidirect |
| 24. #14579081 | C22 | semidirect |
| 25. #14579071 | C22 | semidirect |
| 26. C8×Dic79 | C22 | semidirect |
| 30. #102×C79 | C22 | semidirect |
| 112. C79 | #3138 | semidirect |
| 120. #418 | D79 | semidirect |
| 140. #102 | C2×D79 | semidirect |