Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
384 conjugacy classes of subgroups; only the 127 normal subgroups are shown.
This group has 384 conjugacy classes of subgroups — too many to draw. Only its 127 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 |
|---|---|---|
| 4. #19098855 | C2 | semidirect |
| 5. #19098774 | C2 | semidirect |
| 6. #19098773 | C2 | semidirect |
| 8. #19098657 | C2 | semidirect |
| 9. #19098655 | C2 | semidirect |
| 11. #477×C79 | C2 | semidirect |
| 103. C4×D79 | Q16 | semidirect |
| 133. C79 | #3104 | semidirect |
| 138. #477 | D79 | semidirect |