Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
494 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 494 conjugacy classes of subgroups — too many to draw. Only its 149 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. C22×#11929612 | C2 | semidirect |
| 3. #19099139 | C2 | semidirect |
| 4. #19098778 | C2 | semidirect |
| 5. #19098768 | C2 | semidirect |
| 6. #19098590 | C2 | semidirect |
| 7. #19098571 | C2 | semidirect |
| 8. #19098557 | C2 | semidirect |
| 9. #518×C79 | C2 | semidirect |
| 19. #14579161 | C22 | semidirect |
| 20. #14579149 | C22 | semidirect |
| 23. C4⋊(C79⋊C8) | C22 | semidirect |
| 24. #14579084 | C22 | semidirect |
| 25. #14579084 | C22 | semidirect |
| 26. #14579081 | C22 | semidirect |
| 117. C79 | #3042 | semidirect |
| 121. #518 | D79 | semidirect |