Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
338 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 338 conjugacy classes of subgroups — too many to draw. Only its 123 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. Q8×Dic158 | C2 | semidirect |
| 3. #19098913 | C2 | semidirect |
| 5. #19098848 | C2 | semidirect |
| 7. #19098770 | C2 | semidirect |
| 8. #19098694 | C2 | semidirect |
| 9. #19098668 | C2 | semidirect |
| 117. C79 | #3369 | semidirect |