Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
370 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 370 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. #19099120 | C2 | semidirect |
| 3. #19098968 | C2 | semidirect |
| 4. #19098961 | C2 | semidirect |
| 5. #19098910 | C2 | semidirect |
| 6. #19098910 | C2 | semidirect |
| 7. #19098888 | C2 | semidirect |
| 8. #19098864 | C2 | semidirect |
| 9. #431×C79 | C2 | semidirect |
| 111. C79 | #3228 | semidirect |
| 120. #431 | D79 | semidirect |