Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
404 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 404 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. #19099288 | C2 | semidirect |
| 3. #19098934 | C2 | semidirect |
| 4. #19098766 | C2 | semidirect |
| 5. #19098765 | C2 | semidirect |
| 6. #19098761 | C2 | semidirect |
| 7. #19098760 | C2 | semidirect |
| 8. C8×Dic158 | C2 | semidirect |
| 9. C4×#11929613 | C2 | semidirect |
| 10. SD16×Dic79 | C2 | semidirect |
| 11. #492×C79 | C2 | semidirect |
| 102. Dic158 | SD16 | semidirect |
| 104. C8×C79 | #41 | semidirect |
| 129. C79 | #3392 | semidirect |
| 133. #492 | D79 | semidirect |
| 234. C8 | #11929623 | semidirect |