Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
338 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 338 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. #19098964 | C2 | semidirect |
| 4. #19098959 | C2 | semidirect |
| 5. #19098869 | C2 | semidirect |
| 7. #19098859 | C2 | semidirect |
| 8. #19098687 | C2 | semidirect |
| 45. #11929612 | Q8 | semidirect |
| 115. C79 | #3381 | semidirect |