Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
362 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 125 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×#14579161 | C2 | semidirect |
| 3. #19098972 | C2 | semidirect |
| 4. #19098923 | C2 | semidirect |
| 5. #19098899 | C2 | semidirect |
| 7. #19098849 | C2 | semidirect |
| 8. #19098844 | C2 | semidirect |
| 9. #432×C79 | C2 | semidirect |
| 113. C79 | #3239 | semidirect |
| 122. #432 | D79 | semidirect |