Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
396 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 396 conjugacy classes of subgroups — too many to draw. Only its 109 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. #19099174 | C2 | semidirect |
| 3. #19098955 | C2 | semidirect |
| 4. #19098927 | C2 | semidirect |
| 5. #19098918 | C2 | semidirect |
| 6. #19098783 | C2 | semidirect |
| 7. #19098761 | C2 | semidirect |
| 8. #19098722 | C2 | semidirect |
| 9. #19098712 | C2 | semidirect |
| 10. #19098622 | C2 | semidirect |
| 11. #492×C79 | C2 | semidirect |
| 14. C2×#11929614 | C22 | semidirect |
| 18. #14579153 | C22 | semidirect |
| 25. Q8×Dic79 | C22 | semidirect |
| 27. Dic79⋊C8 | C22 | semidirect |
| 28. #14579086 | C22 | semidirect |
| 31. #14579082 | C22 | semidirect |
| 33. #14579072 | C22 | semidirect |
| 35. C2×SD16×C79 | C22 | semidirect |
| 36. C4⋊Q8×C79 | C22 | semidirect |
| 38. C4×C8×C79 | C22 | semidirect |
| 123. C79 | #3222 | semidirect |
| 127. #492 | D79 | semidirect |
| 140. C2×SD16 | C2×D79 | semidirect |
| 141. C4⋊Q8 | C2×D79 | semidirect |
| 161. C4×C8 | C2×D79 | semidirect |