Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
418 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 418 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 |
|---|---|---|
| 2. #19098887 | C2 | semidirect |
| 3. #19098887 | C2 | semidirect |
| 4. #19098881 | C2 | semidirect |
| 5. #19098876 | C2 | semidirect |
| 6. #19098603 | C2 | semidirect |
| 7. #19098599 | C2 | semidirect |
| 8. #19098567 | C2 | semidirect |
| 9. C2×#14579081 | C2 | semidirect |
| 10. #19098530 | C2 | semidirect |
| 11. #520×C79 | C2 | semidirect |
| 21. #14579094 | C22 | semidirect |
| 22. #14579094 | C22 | semidirect |
| 23. #14579094 | C22 | semidirect |
| 24. #14579092 | C22 | semidirect |
| 25. #14579092 | C22 | semidirect |
| 26. #14579092 | C22 | semidirect |
| 31. C22⋊(C79⋊C8) | C22 | semidirect |
| 32. C22⋊(C79⋊C8) | C22 | semidirect |
| 38. #117×C79 | C22 | semidirect |
| 40. C2×C4⋊C4×C79 | C22 | semidirect |
| 135. C79 | #3096 | semidirect |
| 137. #520 | D79 | semidirect |
| 161. #117 | C2×D79 | semidirect |
| 163. C2×C4⋊C4 | C2×D79 | semidirect |