Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
526 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 526 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 |
|---|---|---|
| 1. C2×#14579187 | C2 | semidirect |
| 2. C22×#11929609 | C2 | semidirect |
| 3. #19099132 | C2 | semidirect |
| 4. #19098778 | C2 | semidirect |
| 5. #19098758 | C2 | semidirect |
| 6. #19098590 | C2 | semidirect |
| 7. #19098567 | C2 | semidirect |
| 8. #19098557 | C2 | semidirect |
| 9. #518×C79 | C2 | semidirect |
| 13. C2×#11929612 | C22 | semidirect |
| 16. C2×#11929609 | C22 | semidirect |
| 19. #14579158 | C22 | semidirect |
| 20. #14579149 | C22 | semidirect |
| 23. C4⋊(C79⋊C8) | C22 | semidirect |
| 24. #14579084 | C22 | semidirect |
| 25. #14579081 | C22 | semidirect |
| 26. #14579081 | C22 | semidirect |
| 29. C4×D4×C79 | C22 | semidirect |
| 56. C2×D4×C79 | D4 | semidirect |
| 122. C79 | #3041 | semidirect |
| 126. #518 | D79 | semidirect |
| 147. C4×D4 | C2×D79 | semidirect |
| 169. C2×D4 | D316 | semidirect |