Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
420 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 420 conjugacy classes of subgroups — too many to draw. Only its 109 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. #19099167 | C2 | semidirect |
| 2. #19099131 | C2 | semidirect |
| 3. #19098939 | C2 | semidirect |
| 4. #19098928 | C2 | semidirect |
| 5. #19098917 | C2 | semidirect |
| 6. #19098780 | C2 | semidirect |
| 7. #19098756 | C2 | semidirect |
| 8. #19098707 | C2 | semidirect |
| 9. #19098695 | C2 | semidirect |
| 10. #19098625 | C2 | semidirect |
| 11. #496×C79 | C2 | semidirect |
| 15. C2×#11929609 | C22 | semidirect |
| 18. #14579153 | C22 | semidirect |
| 25. D4×Dic79 | C22 | semidirect |
| 27. Dic79⋊C8 | C22 | semidirect |
| 28. #14579085 | C22 | semidirect |
| 30. #14579083 | C22 | semidirect |
| 33. C4×C79⋊C8 | C22 | semidirect |
| 34. C2×SD16×C79 | C22 | semidirect |
| 36. #127×C79 | C22 | semidirect |
| 38. #97×C79 | C22 | semidirect |
| 129. C79 | #3220 | semidirect |
| 132. #496 | D79 | semidirect |
| 143. C2×SD16 | C2×D79 | semidirect |
| 149. #127 | C2×D79 | semidirect |
| 166. #97 | C2×D79 | semidirect |