Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
490 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 490 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. C2×#14579158 | C2 | semidirect |
| 2. #19099097 | C2 | semidirect |
| 3. #19098952 | C2 | semidirect |
| 4. #19098928 | C2 | semidirect |
| 5. #19098764 | C2 | semidirect |
| 6. #19098759 | C2 | semidirect |
| 7. #19098716 | C2 | semidirect |
| 8. #19098699 | C2 | semidirect |
| 9. #432×C79 | C2 | semidirect |
| 13. C2×#11929613 | C22 | semidirect |
| 14. C2×D632 | C22 | semidirect |
| 20. #14579153 | C22 | semidirect |
| 21. #14579149 | C22 | semidirect |
| 25. C4×Dic158 | C22 | semidirect |
| 26. C4×D316 | C22 | semidirect |
| 29. #14579083 | C22 | semidirect |
| 30. #14579083 | C22 | semidirect |
| 32. C4⋊C8×C79 | C22 | semidirect |
| 34. #97×C79 | C22 | semidirect |
| 128. C79 | #3217 | semidirect |
| 137. #432 | D79 | semidirect |
| 158. C4⋊C8 | C2×D79 | semidirect |
| 162. #97 | C2×D79 | semidirect |