Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
334 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 334 conjugacy classes of subgroups — too many to draw. Only its 121 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×#14579153 | C2 | semidirect |
| 2. #19098962 | C2 | semidirect |
| 3. #19098917 | C2 | semidirect |
| 4. #19098896 | C2 | semidirect |
| 5. #19098891 | C2 | semidirect |
| 8. #19098870 | C2 | semidirect |
| 9. #19098863 | C2 | semidirect |
| 10. #19098616 | C2 | semidirect |
| 126. C79 | #3232 | semidirect |