Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
448 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 448 conjugacy classes of subgroups — too many to draw. Only its 123 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 |
|---|---|---|
| 2. #19098911 | C2 | semidirect |
| 3. #19098887 | C2 | semidirect |
| 4. #19098840 | C2 | semidirect |
| 5. #19098811 | C2 | semidirect |
| 6. #19098763 | C2 | semidirect |
| 7. #19098713 | C2 | semidirect |
| 8. C4×#11929611 | C2 | semidirect |
| 9. #19098641 | C2 | semidirect |
| 10. #19098567 | C2 | semidirect |
| 11. #556×C79 | C2 | semidirect |
| 15. C2×#11929611 | C22 | semidirect |
| 16. C2×#11929608 | C22 | semidirect |
| 22. #14579094 | C22 | semidirect |
| 23. #14579092 | C22 | semidirect |
| 24. C4⋊(C79⋊C8) | C22 | semidirect |
| 25. #14579085 | C22 | semidirect |
| 28. #14579081 | C22 | semidirect |
| 29. #14579081 | C22 | semidirect |
| 30. #14579081 | C22 | semidirect |
| 31. C22⋊(C79⋊C8) | C22 | semidirect |
| 32. C4×C79⋊C8 | C22 | semidirect |
| 33. C4⋊Q8×C79 | C22 | semidirect |
| 36. C22⋊Q8×C79 | C22 | semidirect |
| 38. C4×Q8×C79 | C22 | semidirect |
| 40. #117×C79 | C22 | semidirect |
| 136. C79 | #3324 | semidirect |
| 137. #556 | D79 | semidirect |
| 153. C4⋊Q8 | C2×D79 | semidirect |
| 157. C22⋊Q8 | C2×D79 | semidirect |
| 162. C4×Q8 | C2×D79 | semidirect |
| 165. #117 | C2×D79 | semidirect |