Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
398 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 398 conjugacy classes of subgroups — too many to draw. Only its 141 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. #19098865 | C2 | semidirect |
| 4. #19098861 | C2 | semidirect |
| 5. #19098851 | C2 | semidirect |
| 6. #19098841 | C2 | semidirect |
| 7. #19098605 | C2 | semidirect |
| 8. #19098599 | C2 | semidirect |
| 9. #19098591 | C2 | semidirect |
| 14. #14579160 | C22 | semidirect |
| 16. #14579152 | C22 | semidirect |
| 26. #14579095 | C22 | semidirect |
| 27. #14579094 | C22 | semidirect |
| 28. #14579094 | C22 | semidirect |
| 29. #14579093 | C22 | semidirect |
| 30. #14579092 | C22 | semidirect |
| 31. #14579092 | C22 | semidirect |
| 32. Dic79⋊C8 | C22 | semidirect |
| 33. Dic79⋊C8 | C22 | semidirect |
| 66. C2×D4×C79 | Q8 | semidirect |
| 125. C79 | #3081 | semidirect |
| 170. C2×D4 | Dic158 | semidirect |