Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
396 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 396 conjugacy classes of subgroups — too many to draw. Only its 117 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. #19098955 | C2 | semidirect |
| 3. #19098937 | C2 | semidirect |
| 4. #19098929 | C2 | semidirect |
| 5. #19098920 | C2 | semidirect |
| 6. #19098785 | C2 | semidirect |
| 7. #19098763 | C2 | semidirect |
| 8. #19098723 | C2 | semidirect |
| 9. #19098713 | C2 | semidirect |
| 10. #19098624 | C2 | semidirect |
| 11. #541×C79 | C2 | semidirect |
| 14. C2×#11929614 | C22 | semidirect |
| 17. C2×#11929611 | C22 | semidirect |
| 24. C4⋊(C79⋊C8) | C22 | semidirect |
| 25. #14579084 | C22 | semidirect |
| 28. #14579081 | C22 | semidirect |
| 30. #14579072 | C22 | semidirect |
| 31. C4×C79⋊C8 | C22 | semidirect |
| 32. C4⋊Q8×C79 | C22 | semidirect |
| 35. #125×C79 | C22 | semidirect |
| 37. C4×Q8×C79 | C22 | semidirect |
| 123. C79 | #3222 | semidirect |
| 124. #541 | D79 | semidirect |
| 141. C4⋊Q8 | C2×D79 | semidirect |
| 146. #125 | C2×D79 | semidirect |
| 152. C4×Q8 | C2×D79 | semidirect |