Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
360 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 113 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. #19099377 | C2 | semidirect |
| 2. #19099365 | C2 | semidirect |
| 3. #19099005 | C2 | semidirect |
| 4. #19099003 | C2 | semidirect |
| 5. #19098998 | C2 | semidirect |
| 6. #19098997 | C2 | semidirect |
| 7. #19098994 | C2 | semidirect |
| 8. C2×#14579106 | C2 | semidirect |
| 9. SD32×D79 | C2 | semidirect |
| 10. #19098979 | C2 | semidirect |
| 11. #508×C79 | C2 | semidirect |
| 19. #14579180 | C22 | semidirect |
| 20. C2×Dic316 | C22 | semidirect |
| 21. Q16×D79 | C22 | semidirect |
| 25. #14579107 | C22 | semidirect |
| 26. #14579106 | C22 | semidirect |
| 27. #14579106 | C22 | semidirect |
| 28. #14579105 | C22 | semidirect |
| 29. #14579104 | C22 | semidirect |
| 30. #14579102 | C22 | semidirect |
| 31. #14579101 | C22 | semidirect |
| 32. #14579100 | C22 | semidirect |
| 33. C16×D79 | C22 | semidirect |
| 35. #135×C79 | C22 | semidirect |
| 36. Q32×C79 | C22 | semidirect |
| 37. SD32×C79 | C22 | semidirect |
| 38. SD32×C79 | C22 | semidirect |
| 39. D16×C79 | C22 | semidirect |
| 40. C2×C16×C79 | C22 | semidirect |
| 127. C79 | #3416 | semidirect |
| 135. #508 | D79 | semidirect |
| 148. #135 | C2×D79 | semidirect |
| 155. Q32 | C2×D79 | semidirect |
| 160. SD32 | C2×D79 | semidirect |
| 161. SD32 | C2×D79 | semidirect |
| 163. D16 | C2×D79 | semidirect |
| 167. C2×C16 | C2×D79 | semidirect |