Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
548 conjugacy classes of subgroups; only the 135 normal subgroups are shown.
This group has 548 conjugacy classes of subgroups — too many to draw. Only its 135 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. C2×#14579189 | C2 | semidirect |
| 2. C2×#14579186 | C2 | semidirect |
| 3. #19099109 | C2 | semidirect |
| 4. C2×#14579123 | C2 | semidirect |
| 5. #19098781 | C2 | semidirect |
| 6. #19098777 | C2 | semidirect |
| 7. #19098767 | C2 | semidirect |
| 8. #19098757 | C2 | semidirect |
| 9. #19098586 | C2 | semidirect |
| 10. #19098562 | C2 | semidirect |
| 11. #417×C79 | C2 | semidirect |
| 22. #14579159 | C22 | semidirect |
| 23. #14579157 | C22 | semidirect |
| 24. #14579150 | C22 | semidirect |
| 25. #14579148 | C22 | semidirect |
| 36. Dic79⋊C8 | C22 | semidirect |
| 37. Dic79⋊C8 | C22 | semidirect |
| 38. #14579084 | C22 | semidirect |
| 39. #14579081 | C22 | semidirect |
| 43. #103×C79 | C22 | semidirect |
| 44. #102×C79 | C22 | semidirect |
| 51. C2×D316 | D4 | semidirect |
| 158. Dic79 | AGL(1,ℤ/8) | semidirect |
| 167. C79 | #3036 | semidirect |
| 178. #417 | D79 | semidirect |
| 209. #103 | C2×D79 | semidirect |
| 211. #102 | C2×D79 | semidirect |