Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
514 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 514 conjugacy classes of subgroups — too many to draw. Only its 125 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. C2×#14579135 | C2 | semidirect |
| 2. #19098881 | C2 | semidirect |
| 3. #19098879 | C2 | semidirect |
| 4. #19098814 | C2 | semidirect |
| 5. #19098697 | C2 | semidirect |
| 6. #19098696 | C2 | semidirect |
| 7. #19098527 | C2 | semidirect |
| 8. C2×#121×C79 | C2 | semidirect |
| 9. C22×D316 | C22 | semidirect |
| 11. C2×#11929609 | C22 | semidirect |
| 12. C2×#11929608 | C22 | semidirect |
| 16. #14579135 | C22 | semidirect |
| 17. C2×C4⋊Dic79 | C22 | semidirect |
| 19. #14579092 | C22 | semidirect |
| 20. #14579082 | C22 | semidirect |
| 21. #14579081 | C22 | semidirect |
| 22. C22⋊(C79⋊C8) | C22 | semidirect |
| 23. C22⋊(C79⋊C8) | C22 | semidirect |
| 25. C22×D4×C79 | C22 | semidirect |
| 30. #121×C79 | C22 | semidirect |
| 31. C2×C4⋊C4×C79 | C22 | semidirect |
| 139. C79 | #3192 | semidirect |
| 141. C2×#121 | D79 | semidirect |
| 151. C22×D4 | C2×D79 | semidirect |
| 162. #121 | C2×D79 | semidirect |
| 164. C2×C4⋊C4 | C2×D79 | semidirect |