Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
472 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 472 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 |
|---|---|---|
| 2. #19099137 | C2 | semidirect |
| 3. #19099046 | C2 | semidirect |
| 4. #19098787 | C2 | semidirect |
| 5. #19098780 | C2 | semidirect |
| 6. #19098771 | C2 | semidirect |
| 7. #19098766 | C2 | semidirect |
| 8. #19098591 | C2 | semidirect |
| 9. #19098565 | C2 | semidirect |
| 10. C2×#14579085 | C2 | semidirect |
| 11. C2×#137×C79 | C2 | semidirect |
| 147. C79 | #3046 | semidirect |
| 148. C2×#137 | D79 | semidirect |