Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
400 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 400 conjugacy classes of subgroups — too many to draw. Only its 133 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 |
| 2. #19098922 | C2 | semidirect |
| 3. #19098917 | C2 | semidirect |
| 4. #19098572 | C2 | semidirect |
| 6. C4×#11929608 | C2 | semidirect |
| 9. #14579161 | C22 | semidirect |
| 10. #14579153 | C22 | semidirect |
| 14. #14579085 | C22 | semidirect |
| 16. #14579072 | C22 | semidirect |
| 17. C4×C79⋊C8 | C22 | semidirect |
| 84. C79 | #3140 | semidirect |