Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
488 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 488 conjugacy classes of subgroups — too many to draw. Only its 119 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. #19099108 | C2 | semidirect |
| 2. C2×#14579123 | C2 | semidirect |
| 3. #19098881 | C2 | semidirect |
| 4. #19098852 | C2 | semidirect |
| 5. #19098757 | C2 | semidirect |
| 6. #19098699 | C2 | semidirect |
| 7. #19098696 | C2 | semidirect |
| 8. #19098674 | C2 | semidirect |
| 9. #19098672 | C2 | semidirect |
| 10. #19098617 | C2 | semidirect |
| 11. #481×C79 | C2 | semidirect |
| 17. #14579160 | C22 | semidirect |
| 18. #14579157 | C22 | semidirect |
| 22. D4×Dic79 | C22 | semidirect |
| 27. #14579123 | C22 | semidirect |
| 31. #14579092 | C22 | semidirect |
| 32. Dic79⋊C8 | C22 | semidirect |
| 35. #14579081 | C22 | semidirect |
| 37. #14579071 | C22 | semidirect |
| 40. #106×C79 | C22 | semidirect |
| 41. #102×C79 | C22 | semidirect |
| 112. D316 | #41 | semidirect |
| 150. C79 | #3109 | semidirect |
| 154. #481 | D79 | semidirect |
| 184. #106 | C2×D79 | semidirect |
| 189. #102 | C2×D79 | semidirect |