Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
472 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 472 conjugacy classes of subgroups — too many to draw. Only its 141 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×#14579192 | C2 | semidirect |
| 3. #19099043 | C2 | semidirect |
| 4. #19098782 | C2 | semidirect |
| 5. #19098775 | C2 | semidirect |
| 6. #19098770 | C2 | semidirect |
| 7. #19098765 | C2 | semidirect |
| 8. #19098590 | C2 | semidirect |
| 9. #19098564 | C2 | semidirect |
| 10. C2×#14579085 | C2 | semidirect |
| 11. #536×C79 | C2 | semidirect |
| 147. C79 | #3046 | semidirect |
| 150. #536 | D79 | semidirect |