Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
492 conjugacy classes of subgroups; only the 189 normal subgroups are shown.
This group has 492 conjugacy classes of subgroups — too many to draw. Only its 189 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. #19098661 | C2 | semidirect |
| 4. C4×#11929611 | C2 | semidirect |
| 5. #19098599 | C2 | semidirect |
| 6. #19098572 | C2 | semidirect |
| 8. #19098519 | C2 | semidirect |
| 9. #519×C79 | C2 | semidirect |
| 11. C2×#11929611 | C4 | semidirect |
| 20. #14579094 | C22 | semidirect |
| 21. #14579092 | C22 | semidirect |
| 22. #14579085 | C22 | semidirect |
| 24. #14579072 | C22 | semidirect |
| 25. C4×C79⋊C8 | C22 | semidirect |
| 28. C4×Q8×C79 | C22 | semidirect |
| 38. #11929611 | C2×C4 | semidirect |
| 39. #11929611 | C2×C4 | semidirect |
| 41. C2×C79⋊C8 | C2×C4 | semidirect |
| 51. C2×Q8×C79 | C2×C4 | semidirect |
| 104. C79 | #2949 | semidirect |
| 106. #519 | D79 | semidirect |
| 122. C4×Q8 | C2×D79 | semidirect |
| 139. C2×Q8 | C4×D79 | semidirect |