Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
418 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 418 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. #19099044 | C2 | semidirect |
| 3. #19098890 | C2 | semidirect |
| 4. #19098889 | C2 | semidirect |
| 5. #19098883 | C2 | semidirect |
| 6. #19098878 | C2 | semidirect |
| 7. #19098599 | C2 | semidirect |
| 8. #19098569 | C2 | semidirect |
| 9. C2×#14579081 | C2 | semidirect |
| 10. #19098531 | C2 | semidirect |
| 11. #428×C79 | C2 | semidirect |
| 24. #14579119 | C22 | semidirect |
| 25. C4⋊C4×D79 | C22 | semidirect |
| 26. #14579094 | C22 | semidirect |
| 27. #14579094 | C22 | semidirect |
| 28. #14579092 | C22 | semidirect |
| 29. #14579092 | C22 | semidirect |
| 34. (C2×D79)⋊C8 | C22 | semidirect |
| 35. (C2×D79)⋊C8 | C22 | semidirect |
| 39. #107×C79 | C22 | semidirect |
| 40. #106×C79 | C22 | semidirect |
| 135. C79 | #3096 | semidirect |
| 142. #428 | D79 | semidirect |
| 166. #107 | C2×D79 | semidirect |
| 169. #106 | C2×D79 | semidirect |