Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
380 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 380 conjugacy classes of subgroups — too many to draw. Only its 121 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. #19099092 | C2 | semidirect |
| 2. #19098965 | C2 | semidirect |
| 3. #19098917 | C2 | semidirect |
| 4. #19098801 | C2 | semidirect |
| 6. #19098789 | C2 | semidirect |
| 7. Q16×Dic79 | C2 | semidirect |
| 8. SD16×Dic79 | C2 | semidirect |
| 9. D8×Dic79 | C2 | semidirect |
| 10. C4×C8×D79 | C2 | semidirect |
| 11. #495×C79 | C2 | semidirect |
| 119. C79 | #3168 | semidirect |
| 122. #495 | D79 | semidirect |