Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
398 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 398 conjugacy classes of subgroups — too many to draw. Only its 133 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. #19099191 | C2 | semidirect |
| 3. #19098866 | C2 | semidirect |
| 4. #19098862 | C2 | semidirect |
| 5. #19098852 | C2 | semidirect |
| 6. #19098842 | C2 | semidirect |
| 7. #19098606 | C2 | semidirect |
| 8. #19098589 | C2 | semidirect |
| 11. #427×C79 | C2 | semidirect |
| 15. #14579160 | C22 | semidirect |
| 17. #14579152 | C22 | semidirect |
| 26. #14579094 | C22 | semidirect |
| 27. #14579092 | C22 | semidirect |
| 28. Dic79⋊C8 | C22 | semidirect |
| 29. Dic79⋊C8 | C22 | semidirect |
| 37. #107×C79 | C22 | semidirect |
| 38. #107×C79 | C22 | semidirect |
| 39. #106×C79 | C22 | semidirect |
| 40. #106×C79 | C22 | semidirect |
| 45. C2×D316 | Q8 | semidirect |
| 125. C79 | #3081 | semidirect |
| 133. #427 | D79 | semidirect |
| 155. #107 | C2×D79 | semidirect |
| 156. #107 | C2×D79 | semidirect |
| 158. #106 | C2×D79 | semidirect |
| 159. #106 | C2×D79 | semidirect |