Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
546 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 546 conjugacy classes of subgroups — too many to draw. Only its 149 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. C22×#11929612 | C2 | semidirect |
| 2. D4×Dic158 | C2 | semidirect |
| 3. #19098935 | C2 | semidirect |
| 4. #19098790 | C2 | semidirect |
| 5. #19098768 | C2 | semidirect |
| 6. #19098760 | C2 | semidirect |
| 7. #19098714 | C2 | semidirect |
| 8. #19098701 | C2 | semidirect |
| 9. C4×#11929612 | C2 | semidirect |
| 10. D4×C79⋊C8 | C2 | semidirect |
| 12. C22×Dic158 | C22 | semidirect |
| 16. C2×#11929612 | C22 | semidirect |
| 17. C2×#11929612 | C22 | semidirect |
| 18. C2×#11929612 | C22 | semidirect |
| 19. C22×C79⋊C8 | C22 | semidirect |
| 20. #14579161 | C22 | semidirect |
| 22. #14579140 | C22 | semidirect |
| 24. C4×Dic158 | C22 | semidirect |
| 26. #14579092 | C22 | semidirect |
| 27. C4⋊(C79⋊C8) | C22 | semidirect |
| 28. #14579084 | C22 | semidirect |
| 29. #14579084 | C22 | semidirect |
| 31. #14579082 | C22 | semidirect |
| 32. C22⋊(C79⋊C8) | C22 | semidirect |
| 33. C4×C79⋊C8 | C22 | semidirect |
| 52. #11929612 | D4 | direct (N × H) |
| 96. D4×C79 | SD16 | semidirect |
| 114. Dic158 | C2×D4 | semidirect |
| 117. C79⋊C8 | C2×D4 | semidirect |
| 127. C22×C79 | C2×SD16 | semidirect |
| 132. C4×C79 | C2×SD16 | semidirect |
| 145. C79 | D4×SD16 | semidirect |
| 246. D4 | #11929612 | direct (N × H) |
| 272. C22 | C2×#11929612 | semidirect |
| 280. C4 | C2×#11929612 | semidirect |