Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
454 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 454 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. #19099099 | C2 | semidirect |
| 2. C2×#14579123 | C2 | semidirect |
| 3. #19098881 | C2 | semidirect |
| 4. #19098866 | C2 | semidirect |
| 5. #19098781 | C2 | semidirect |
| 6. #19098713 | C2 | semidirect |
| 8. #19098648 | C2 | semidirect |
| 9. #19098645 | C2 | semidirect |
| 10. #19098613 | C2 | semidirect |
| 11. #484×C79 | C2 | semidirect |
| 17. #14579152 | C22 | semidirect |
| 18. #14579150 | C22 | semidirect |
| 21. Q8×Dic79 | C22 | semidirect |
| 26. #14579123 | C22 | semidirect |
| 31. #14579092 | C22 | semidirect |
| 32. Dic79⋊C8 | C22 | semidirect |
| 35. #14579081 | C22 | semidirect |
| 37. C8×Dic79 | C22 | semidirect |
| 40. #107×C79 | C22 | semidirect |
| 41. #103×C79 | C22 | semidirect |
| 141. C79 | #3105 | semidirect |
| 144. #484 | D79 | semidirect |
| 174. #107 | C2×D79 | semidirect |
| 177. #103 | C2×D79 | semidirect |