Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
546 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 546 conjugacy classes of subgroups — too many to draw. Only its 133 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×#14579187 | C2 | semidirect |
| 2. #19099218 | C2 | semidirect |
| 3. #19098935 | C2 | semidirect |
| 4. #19098807 | C2 | semidirect |
| 5. #19098768 | C2 | semidirect |
| 6. #19098755 | C2 | semidirect |
| 7. #19098714 | C2 | semidirect |
| 8. #19098706 | C2 | semidirect |
| 9. C4×#11929609 | C2 | semidirect |
| 10. #19098641 | C2 | semidirect |
| 11. D42×C79 | C2 | semidirect |
| 12. C2×#11929624 | C22 | semidirect |
| 15. C2×#11929612 | C22 | semidirect |
| 16. C2×#11929612 | C22 | semidirect |
| 18. C2×#11929609 | C22 | semidirect |
| 19. C2×#11929608 | C22 | semidirect |
| 20. #14579161 | C22 | semidirect |
| 22. #14579140 | C22 | semidirect |
| 24. C4×D316 | C22 | semidirect |
| 26. #14579094 | C22 | semidirect |
| 27. C4⋊(C79⋊C8) | C22 | semidirect |
| 28. #14579084 | C22 | semidirect |
| 30. #14579082 | C22 | semidirect |
| 31. #14579081 | C22 | semidirect |
| 32. C22⋊(C79⋊C8) | C22 | semidirect |
| 33. C4×C79⋊C8 | C22 | semidirect |
| 53. #11929609 | D4 | semidirect |
| 111. D316 | C2×D4 | semidirect |
| 118. C79⋊C8 | C2×D4 | semidirect |
| 136. C4×C79 | AGL(1,ℤ/8) | semidirect |
| 149. C79 | #3272 | semidirect |
| 152. D42 | D79 | semidirect |
| 287. C4 | #14579187 | semidirect |