Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
406 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 406 conjugacy classes of subgroups — too many to draw. Only its 123 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. #19099235 | C2 | semidirect |
| 2. #19098953 | C2 | semidirect |
| 3. #19098937 | C2 | semidirect |
| 4. #19098775 | C2 | semidirect |
| 5. #19098765 | C2 | semidirect |
| 6. #19098763 | C2 | semidirect |
| 7. #19098758 | C2 | semidirect |
| 8. #19098694 | C2 | semidirect |
| 9. #19098661 | C2 | semidirect |
| 10. C4×#11929609 | C2 | semidirect |
| 11. #556×C79 | C2 | semidirect |
| 106. C79⋊C8 | #41 | semidirect |
| 133. C79 | #3397 | semidirect |
| 134. #556 | D79 | semidirect |