Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
398 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 398 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 |
|---|---|---|
| 2. #19099043 | C2 | semidirect |
| 3. #19098902 | C2 | semidirect |
| 4. #19098892 | C2 | semidirect |
| 5. #19098886 | C2 | semidirect |
| 6. #19098880 | C2 | semidirect |
| 7. #19098606 | C2 | semidirect |
| 8. C2×#14579093 | C2 | semidirect |
| 9. #19098564 | C2 | semidirect |
| 10. #19098529 | C2 | semidirect |
| 11. #416×C79 | C2 | semidirect |
| 134. C79 | #3099 | semidirect |
| 144. #416 | D79 | semidirect |