Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
400 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 400 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. #19099116 | C2 | semidirect |
| 3. #19098921 | C2 | semidirect |
| 4. #19098916 | C2 | semidirect |
| 5. #19098573 | C2 | semidirect |
| 6. #19098571 | C2 | semidirect |
| 8. M16×Dic79 | C2 | semidirect |
| 12. #14579160 | C22 | semidirect |
| 13. #14579152 | C22 | semidirect |
| 22. #14579086 | C22 | semidirect |
| 23. #14579084 | C22 | semidirect |
| 25. #14579071 | C22 | semidirect |
| 26. C8×Dic79 | C22 | semidirect |
| 105. C79 | #3140 | semidirect |