Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
396 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 396 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. #19099176 | C2 | semidirect |
| 3. #19098957 | C2 | semidirect |
| 4. #19098935 | C2 | semidirect |
| 5. #19098920 | C2 | semidirect |
| 6. #19098784 | C2 | semidirect |
| 7. #19098762 | C2 | semidirect |
| 8. #19098726 | C2 | semidirect |
| 9. #19098715 | C2 | semidirect |
| 10. #19098625 | C2 | semidirect |
| 11. #490×C79 | C2 | semidirect |
| 14. C2×Dic316 | C22 | semidirect |
| 17. C2×#11929612 | C22 | semidirect |
| 18. #14579161 | C22 | semidirect |
| 27. #14579126 | C22 | semidirect |
| 29. Dic79⋊C8 | C22 | semidirect |
| 30. #14579084 | C22 | semidirect |
| 33. C4×C79⋊C8 | C22 | semidirect |
| 35. #125×C79 | C22 | semidirect |
| 37. #102×C79 | C22 | semidirect |
| 38. #97×C79 | C22 | semidirect |
| 123. C79 | #3222 | semidirect |
| 128. #490 | D79 | semidirect |
| 146. #125 | C2×D79 | semidirect |
| 158. #102 | C2×D79 | semidirect |
| 160. #97 | C2×D79 | semidirect |