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. #19099176 | C2 | semidirect |
| 3. #19098958 | C2 | semidirect |
| 4. #19098936 | C2 | semidirect |
| 5. #19098929 | C2 | semidirect |
| 6. #19098788 | C2 | semidirect |
| 7. #19098762 | C2 | semidirect |
| 8. #19098728 | C2 | semidirect |
| 9. #19098715 | C2 | semidirect |
| 10. #19098622 | C2 | semidirect |
| 11. #488×C79 | C2 | semidirect |
| 14. C2×#11929614 | C22 | semidirect |
| 16. C2×#11929613 | C22 | semidirect |
| 18. #14579161 | C22 | semidirect |
| 27. #14579126 | C22 | semidirect |
| 29. Dic79⋊C8 | C22 | semidirect |
| 31. #14579081 | C22 | semidirect |
| 33. #14579072 | C22 | semidirect |
| 34. #125×C79 | C22 | semidirect |
| 36. #103×C79 | C22 | semidirect |
| 38. C4×C8×C79 | C22 | semidirect |
| 123. C79 | #3222 | semidirect |
| 129. #488 | D79 | semidirect |
| 146. #125 | C2×D79 | semidirect |
| 155. #103 | C2×D79 | semidirect |
| 161. C4×C8 | C2×D79 | semidirect |