Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
404 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 404 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 |
|---|---|---|
| 1. #19099194 | C2 | semidirect |
| 3. #19098926 | C2 | semidirect |
| 4. #19098924 | C2 | semidirect |
| 5. #19098919 | C2 | semidirect |
| 6. #19098908 | C2 | semidirect |
| 7. #19098569 | C2 | semidirect |
| 8. #19098559 | C2 | semidirect |
| 9. C2×#14579081 | C2 | semidirect |
| 10. #19098521 | C2 | semidirect |
| 11. #417×C79 | C2 | semidirect |
| 15. #14579160 | C22 | semidirect |
| 18. #14579152 | C22 | semidirect |
| 26. #14579085 | C22 | semidirect |
| 27. #14579085 | C22 | semidirect |
| 30. #14579082 | C22 | semidirect |
| 31. #14579082 | C22 | semidirect |
| 34. #14579071 | C22 | semidirect |
| 35. C8×Dic79 | C22 | semidirect |
| 39. #103×C79 | C22 | semidirect |
| 40. #102×C79 | C22 | semidirect |
| 136. C79 | #3136 | semidirect |
| 144. #417 | D79 | semidirect |
| 167. #103 | C2×D79 | semidirect |
| 174. #102 | C2×D79 | semidirect |