Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
420 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 420 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 |
|---|---|---|
| 2. #19098901 | C2 | semidirect |
| 3. #19098893 | C2 | semidirect |
| 4. #19098876 | C2 | semidirect |
| 5. #19098802 | C2 | semidirect |
| 6. #19098794 | C2 | semidirect |
| 7. #19098723 | C2 | semidirect |
| 8. #19098719 | C2 | semidirect |
| 9. #19098702 | C2 | semidirect |
| 10. C2×C22⋊(C79⋊C8) | C2 | semidirect |
| 11. C2×C22⋊Q8×C79 | C2 | semidirect |
| 13. C2×#11929614 | C22 | semidirect |
| 14. C2×#11929611 | C22 | semidirect |
| 25. #14579094 | C22 | semidirect |
| 26. #14579092 | C22 | semidirect |
| 27. #14579085 | C22 | semidirect |
| 28. #14579085 | C22 | semidirect |
| 29. #14579084 | C22 | semidirect |
| 30. #14579081 | C22 | semidirect |
| 150. C79 | #3190 | semidirect |
| 152. C2×C22⋊Q8 | D79 | semidirect |