Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
488 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 488 conjugacy classes of subgroups — too many to draw. Only its 123 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×D4×Dic79 | C2 | semidirect |
| 3. #19098882 | C2 | semidirect |
| 4. #19098879 | C2 | semidirect |
| 5. #19098851 | C2 | semidirect |
| 6. #19098756 | C2 | semidirect |
| 7. #19098697 | C2 | semidirect |
| 8. #19098675 | C2 | semidirect |
| 9. #19098672 | C2 | semidirect |
| 10. #19098617 | C2 | semidirect |
| 11. #447×C79 | C2 | semidirect |
| 15. #14579160 | C22 | semidirect |
| 16. #14579157 | C22 | semidirect |
| 24. D4×Dic79 | C22 | semidirect |
| 25. #14579123 | C22 | semidirect |
| 30. #14579093 | C22 | semidirect |
| 31. #14579092 | C22 | semidirect |
| 32. Dic79⋊C8 | C22 | semidirect |
| 33. #14579083 | C22 | semidirect |
| 35. #14579082 | C22 | semidirect |
| 37. #14579071 | C22 | semidirect |
| 94. D4×C79 | #41 | semidirect |
| 150. C79 | #3109 | semidirect |
| 158. #447 | D79 | semidirect |
| 249. D4 | #11929623 | semidirect |