Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
392 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 392 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. #19099293 | C2 | semidirect |
| 3. #19098911 | C2 | semidirect |
| 4. #19098908 | C2 | semidirect |
| 5. #19098852 | C2 | semidirect |
| 6. #19098764 | C2 | semidirect |
| 7. #19098762 | C2 | semidirect |
| 8. #19098687 | C2 | semidirect |
| 9. #19098650 | C2 | semidirect |
| 10. C4×#11929612 | C2 | semidirect |
| 11. #476×C79 | C2 | semidirect |
| 98. Dic158 | SD16 | semidirect |
| 99. Dic158 | #41 | semidirect |
| 126. C79 | #3362 | semidirect |
| 132. #476 | D79 | semidirect |