Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
450 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 450 conjugacy classes of subgroups — too many to draw. Only its 117 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. #19099094 | C2 | semidirect |
| 2. C2×#14579123 | C2 | semidirect |
| 3. #19098893 | C2 | semidirect |
| 4. #19098866 | C2 | semidirect |
| 5. #19098777 | C2 | semidirect |
| 6. #19098716 | C2 | semidirect |
| 8. #19098672 | C2 | semidirect |
| 9. #19098662 | C2 | semidirect |
| 10. #19098617 | C2 | semidirect |
| 11. #480×C79 | C2 | semidirect |
| 17. #14579152 | C22 | semidirect |
| 18. #14579148 | C22 | semidirect |
| 21. #14579126 | C22 | semidirect |
| 23. D4×Dic79 | C22 | semidirect |
| 31. #14579092 | C22 | semidirect |
| 32. Dic79⋊C8 | C22 | semidirect |
| 33. #14579084 | C22 | semidirect |
| 37. #14579071 | C22 | semidirect |
| 40. #107×C79 | C22 | semidirect |
| 41. #102×C79 | C22 | semidirect |
| 141. C79 | #3114 | semidirect |
| 145. #480 | D79 | semidirect |
| 174. #107 | C2×D79 | semidirect |
| 180. #102 | C2×D79 | semidirect |