Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
450 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 450 conjugacy classes of subgroups — too many to draw. Only its 121 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. #19099099 | C2 | semidirect |
| 2. C2×D4×Dic79 | C2 | semidirect |
| 3. #19098891 | C2 | semidirect |
| 4. #19098877 | C2 | semidirect |
| 5. #19098861 | C2 | semidirect |
| 6. #19098780 | C2 | semidirect |
| 8. #19098672 | C2 | semidirect |
| 9. #19098664 | C2 | semidirect |
| 10. #19098617 | C2 | semidirect |
| 11. #450×C79 | C2 | semidirect |
| 15. #14579152 | C22 | semidirect |
| 16. #14579150 | C22 | semidirect |
| 19. Q8×Dic79 | C22 | semidirect |
| 24. #14579123 | C22 | semidirect |
| 30. #14579095 | C22 | semidirect |
| 31. #14579092 | C22 | semidirect |
| 32. Dic79⋊C8 | C22 | semidirect |
| 33. #14579085 | C22 | semidirect |
| 34. #14579083 | C22 | semidirect |
| 37. #14579071 | C22 | semidirect |
| 141. C79 | #3114 | semidirect |
| 148. #450 | D79 | semidirect |