Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
372 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 372 conjugacy classes of subgroups — too many to draw. Only its 133 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. #19099191 | C2 | semidirect |
| 3. #19098932 | C2 | semidirect |
| 4. #19098923 | C2 | semidirect |
| 5. #19098918 | C2 | semidirect |
| 6. #19098914 | C2 | semidirect |
| 7. #19098573 | C2 | semidirect |
| 10. C2×#14579086 | C2 | semidirect |
| 11. #405×C79 | C2 | semidirect |
| 128. C79 | #3137 | semidirect |
| 139. #405 | D79 | semidirect |