Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
388 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 388 conjugacy classes of subgroups — too many to draw. Only its 117 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. #19099273 | C2 | semidirect |
| 3. #19098914 | C2 | semidirect |
| 4. #19098895 | C2 | semidirect |
| 5. #19098853 | C2 | semidirect |
| 6. #19098820 | C2 | semidirect |
| 7. #19098773 | C2 | semidirect |
| 8. #19098722 | C2 | semidirect |
| 9. #19098642 | C2 | semidirect |
| 10. #19098561 | C2 | semidirect |
| 11. C4×SD16×C79 | C2 | semidirect |
| 127. C79 | #3331 | semidirect |
| 136. C4×SD16 | D79 | semidirect |