Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
526 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 526 conjugacy classes of subgroups — too many to draw. Only its 133 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×#14579180 | C2 | semidirect |
| 2. #19099207 | C2 | semidirect |
| 3. #19098946 | C2 | semidirect |
| 4. #19098804 | C2 | semidirect |
| 5. #19098796 | C2 | semidirect |
| 6. #19098776 | C2 | semidirect |
| 7. #19098714 | C2 | semidirect |
| 8. #19098705 | C2 | semidirect |
| 9. D8×Dic79 | C2 | semidirect |
| 10. C8×C22⋊D79 | C2 | semidirect |
| 11. C22×D8×C79 | C2 | semidirect |
| 12. C2×#11929623 | C22 | semidirect |
| 14. C2×Dic316 | C22 | semidirect |
| 15. C2×#11929612 | C22 | semidirect |
| 16. C2×#11929612 | C22 | semidirect |
| 17. C2×C8×D79 | C22 | semidirect |
| 18. #14579148 | C22 | semidirect |
| 22. #14579132 | C22 | semidirect |
| 24. D4×Dic79 | C22 | semidirect |
| 27. #14579095 | C22 | semidirect |
| 28. Dic79⋊C8 | C22 | semidirect |
| 29. #14579086 | C22 | semidirect |
| 30. #14579082 | C22 | semidirect |
| 31. #14579082 | C22 | semidirect |
| 33. (C2×D79)⋊C8 | C22 | semidirect |
| 34. C8×Dic79 | C22 | semidirect |
| 76. D8×C79 | D4 | semidirect |
| 123. C22×C79 | #135 | semidirect |
| 144. C79 | #3280 | semidirect |
| 146. C22×D8 | D79 | semidirect |
| 206. D8 | C22⋊D79 | semidirect |
| 270. C22 | #14579180 | semidirect |