Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
448 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 448 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 |
|---|---|---|
| 1. #19099115 | C2 | semidirect |
| 3. #19098893 | C2 | semidirect |
| 4. #19098852 | C2 | semidirect |
| 5. #19098767 | C2 | semidirect |
| 8. #19098650 | C2 | semidirect |
| 9. #19098648 | C2 | semidirect |
| 10. #19098613 | C2 | semidirect |
| 11. #483×C79 | C2 | semidirect |
| 16. #14579160 | C22 | semidirect |
| 17. #14579159 | C22 | semidirect |
| 21. Q8×Dic79 | C22 | semidirect |
| 23. #14579126 | C22 | semidirect |
| 31. #14579092 | C22 | semidirect |
| 32. Dic79⋊C8 | C22 | semidirect |
| 33. #14579084 | C22 | semidirect |
| 37. C8×Dic79 | C22 | semidirect |
| 40. #106×C79 | C22 | semidirect |
| 41. #103×C79 | C22 | semidirect |
| 98. C2×Dic79 | SD16 | semidirect |
| 137. C79 | #3101 | semidirect |
| 141. #483 | D79 | semidirect |
| 171. #106 | C2×D79 | semidirect |
| 174. #103 | C2×D79 | semidirect |