Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
462 conjugacy classes of subgroups; only the 127 normal subgroups are shown.
This group has 462 conjugacy classes of subgroups — too many to draw. Only its 127 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. #117×D79 | C2 | semidirect |
| 3. #19098886 | C2 | semidirect |
| 4. #19098885 | C2 | semidirect |
| 5. #19098880 | C2 | semidirect |
| 6. #19098875 | C2 | semidirect |
| 7. #19098606 | C2 | semidirect |
| 8. #19098605 | C2 | semidirect |
| 9. #19098568 | C2 | semidirect |
| 10. #19098526 | C2 | semidirect |
| 11. #418×C79 | C2 | semidirect |
| 20. #14579119 | C22 | semidirect |
| 21. #14579119 | C22 | semidirect |
| 25. C4⋊C4×D79 | C22 | semidirect |
| 26. C4⋊C4×D79 | C22 | semidirect |
| 30. #14579095 | C22 | semidirect |
| 31. #14579094 | C22 | semidirect |
| 32. #14579093 | C22 | semidirect |
| 33. #14579092 | C22 | semidirect |
| 34. #14579082 | C22 | semidirect |
| 35. #14579082 | C22 | semidirect |
| 36. (C2×D79)⋊C8 | C22 | semidirect |
| 37. (C2×D79)⋊C8 | C22 | semidirect |
| 41. #102×C79 | C22 | semidirect |
| 42. #102×C79 | C22 | semidirect |
| 156. C79 | #3094 | semidirect |
| 166. #418 | D79 | semidirect |
| 195. #102 | C2×D79 | semidirect |
| 196. #102 | C2×D79 | semidirect |