Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
410 conjugacy classes of subgroups; only the 127 normal subgroups are shown.
This group has 410 conjugacy classes of subgroups — too many to draw. Only its 127 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 |
|---|---|---|
| 3. #19098907 | C2 | semidirect |
| 4. #19098906 | C2 | semidirect |
| 5. #19098900 | C2 | semidirect |
| 6. #19098895 | C2 | semidirect |
| 7. #19098603 | C2 | semidirect |
| 8. #19098573 | C2 | semidirect |
| 9. #19098571 | C2 | semidirect |
| 11. #428×C79 | C2 | semidirect |
| 30. #14579094 | C22 | semidirect |
| 31. #14579092 | C22 | semidirect |
| 32. #14579086 | C22 | semidirect |
| 33. #14579086 | C22 | semidirect |
| 34. #14579084 | C22 | semidirect |
| 35. #14579084 | C22 | semidirect |
| 41. #107×C79 | C22 | semidirect |
| 42. #106×C79 | C22 | semidirect |
| 147. C79 | #3095 | semidirect |
| 155. #428 | D79 | semidirect |
| 181. #107 | C2×D79 | semidirect |
| 183. #106 | C2×D79 | semidirect |