Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
398 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 398 conjugacy classes of subgroups — too many to draw. Only its 149 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 |
| 2. #19098863 | C2 | semidirect |
| 3. #19098863 | C2 | semidirect |
| 4. #19098853 | C2 | semidirect |
| 5. #19098843 | C2 | semidirect |
| 6. #19098606 | C2 | semidirect |
| 7. #19098599 | C2 | semidirect |
| 8. #19098590 | C2 | semidirect |
| 14. #14579161 | C22 | semidirect |
| 16. #14579153 | C22 | semidirect |
| 21. #14579094 | C22 | semidirect |
| 22. #14579094 | C22 | semidirect |
| 23. #14579094 | C22 | semidirect |
| 24. #14579092 | C22 | semidirect |
| 25. #14579092 | C22 | semidirect |
| 26. #14579092 | C22 | semidirect |
| 27. C4⋊(C79⋊C8) | C22 | semidirect |
| 28. C4⋊(C79⋊C8) | C22 | semidirect |
| 60. C2×D4×C79 | Q8 | semidirect |
| 125. C79 | #3081 | semidirect |
| 170. C2×D4 | Dic158 | semidirect |