Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
410 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 410 conjugacy classes of subgroups — too many to draw. Only its 125 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. #19099113 | C2 | semidirect |
| 2. #19098973 | C2 | semidirect |
| 3. #19098953 | C2 | semidirect |
| 4. #19098929 | C2 | semidirect |
| 5. #19098922 | C2 | semidirect |
| 6. #19098797 | C2 | semidirect |
| 7. #19098794 | C2 | semidirect |
| 8. #19098673 | C2 | semidirect |
| 9. #19098661 | C2 | semidirect |
| 10. C2×#14579072 | C2 | semidirect |
| 11. #529×C79 | C2 | semidirect |
| 110. C79⋊C8 | #41 | semidirect |
| 138. C79 | #3180 | semidirect |
| 140. #529 | D79 | semidirect |