Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
414 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 414 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 |
|---|---|---|
| 2. C2×#14579119 | C2 | semidirect |
| 3. #19098907 | C2 | semidirect |
| 4. #19098906 | C2 | semidirect |
| 5. #19098890 | C2 | semidirect |
| 6. #19098889 | C2 | semidirect |
| 7. #19098606 | C2 | semidirect |
| 8. #19098565 | C2 | semidirect |
| 9. #19098562 | C2 | semidirect |
| 10. #19098526 | C2 | semidirect |
| 11. #428×C79 | C2 | semidirect |
| 30. #14579094 | C22 | semidirect |
| 31. #14579092 | C22 | semidirect |
| 32. #14579086 | C22 | semidirect |
| 33. #14579084 | C22 | semidirect |
| 34. #14579083 | C22 | semidirect |
| 35. #14579081 | C22 | semidirect |
| 41. #107×C79 | C22 | semidirect |
| 42. #106×C79 | C22 | semidirect |
| 153. C79 | #3093 | semidirect |
| 161. #428 | D79 | semidirect |
| 187. #107 | C2×D79 | semidirect |
| 189. #106 | C2×D79 | semidirect |