Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
484 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 484 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. #19099118 | C2 | semidirect |
| 3. #19098926 | C2 | semidirect |
| 4. #19098911 | C2 | semidirect |
| 5. #19098910 | C2 | semidirect |
| 6. #19098909 | C2 | semidirect |
| 7. #19098566 | C2 | semidirect |
| 8. C4×#11929607 | C2 | semidirect |
| 9. #486×C79 | C2 | semidirect |
| 14. #14579161 | C22 | semidirect |
| 19. #14579152 | C22 | semidirect |
| 26. #14579083 | C22 | semidirect |
| 27. #14579082 | C22 | semidirect |
| 28. #14579081 | C22 | semidirect |
| 29. #14579071 | C22 | semidirect |
| 30. C4×C79⋊C8 | C22 | semidirect |
| 31. C4⋊Q8×C79 | C22 | semidirect |
| 33. #102×C79 | C22 | semidirect |
| 34. C4×C8×C79 | C22 | semidirect |
| 124. C79 | #3138 | semidirect |
| 131. #486 | D79 | semidirect |
| 139. C4⋊Q8 | C2×D79 | semidirect |
| 155. #102 | C2×D79 | semidirect |
| 158. C4×C8 | C2×D79 | semidirect |