Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
404 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 404 conjugacy classes of subgroups — too many to draw. Only its 123 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 |
|---|---|---|
| 2. C4⋊Q8×D79 | C2 | semidirect |
| 3. #19098967 | C2 | semidirect |
| 4. #19098908 | C2 | semidirect |
| 5. #19098878 | C2 | semidirect |
| 6. #19098875 | C2 | semidirect |
| 7. #19098844 | C2 | semidirect |
| 8. #19098843 | C2 | semidirect |
| 9. #19098840 | C2 | semidirect |
| 10. #19098615 | C2 | semidirect |
| 11. #474×C79 | C2 | semidirect |
| 142. C79 | #3226 | semidirect |
| 152. #474 | D79 | semidirect |