Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
472 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 472 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. C2×#14579194 | C2 | semidirect |
| 3. #19099134 | C2 | semidirect |
| 4. #19099044 | C2 | semidirect |
| 5. #19098784 | C2 | semidirect |
| 6. #19098777 | C2 | semidirect |
| 7. #19098772 | C2 | semidirect |
| 8. #19098767 | C2 | semidirect |
| 9. #19098591 | C2 | semidirect |
| 10. C2×#14579084 | C2 | semidirect |
| 11. #417×C79 | C2 | semidirect |
| 147. C79 | #3046 | semidirect |
| 157. #417 | D79 | semidirect |