Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
532 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 532 conjugacy classes of subgroups — too many to draw. Only its 137 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. C2×#14579193 | C2 | semidirect |
| 3. C2×Q16×D79 | C2 | semidirect |
| 4. #19099138 | C2 | semidirect |
| 5. #19098956 | C2 | semidirect |
| 6. #19098955 | C2 | semidirect |
| 7. #19098948 | C2 | semidirect |
| 8. #19098947 | C2 | semidirect |
| 9. #19098941 | C2 | semidirect |
| 10. #19098517 | C2 | semidirect |
| 11. #494×C79 | C2 | semidirect |
| 122. C79 | #3156 | semidirect |
| 132. #494 | D79 | semidirect |