Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
404 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 404 conjugacy classes of subgroups — too many to draw. Only its 133 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. #19098929 | C2 | semidirect |
| 3. #19098925 | C2 | semidirect |
| 4. #19098920 | C2 | semidirect |
| 5. #19098911 | C2 | semidirect |
| 6. #19098567 | C2 | semidirect |
| 7. #19098562 | C2 | semidirect |
| 8. #19098557 | C2 | semidirect |
| 9. C2×#14579081 | C2 | semidirect |
| 10. #19098519 | C2 | semidirect |
| 11. #544×C79 | C2 | semidirect |
| 21. #14579084 | C22 | semidirect |
| 22. #14579084 | C22 | semidirect |
| 23. #14579084 | C22 | semidirect |
| 28. #14579081 | C22 | semidirect |
| 29. #14579081 | C22 | semidirect |
| 30. #14579081 | C22 | semidirect |
| 31. #14579072 | C22 | semidirect |
| 32. C4×C79⋊C8 | C22 | semidirect |
| 34. C4⋊Q8×C79 | C22 | semidirect |
| 36. #125×C79 | C22 | semidirect |
| 136. C79 | #3136 | semidirect |
| 137. #544 | D79 | semidirect |
| 153. C4⋊Q8 | C2×D79 | semidirect |
| 156. #125 | C2×D79 | semidirect |