Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
484 conjugacy classes of subgroups; only the 127 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 127 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. C2×#14579180 | C2 | semidirect |
| 2. C2×#14579167 | C2 | semidirect |
| 3. #19099142 | C2 | semidirect |
| 4. #19098808 | C2 | semidirect |
| 5. #19098807 | C2 | semidirect |
| 6. #19098805 | C2 | semidirect |
| 7. #19098804 | C2 | semidirect |
| 8. #19098796 | C2 | semidirect |
| 9. #107×D79 | C2 | semidirect |
| 10. #19098561 | C2 | semidirect |
| 11. #466×C79 | C2 | semidirect |
| 64. C8×D79 | D4 | semidirect |
| 144. C79 | #3061 | semidirect |
| 153. #466 | D79 | semidirect |