Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
488 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 488 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. #19099120 | C2 | semidirect |
| 2. #19098935 | C2 | semidirect |
| 3. #19098909 | C2 | semidirect |
| 4. #19098760 | C2 | semidirect |
| 5. #19098714 | C2 | semidirect |
| 6. #19098616 | C2 | semidirect |
| 8. C2×#11929612 | C22 | semidirect |
| 9. #14579161 | C22 | semidirect |
| 10. #14579161 | C22 | semidirect |
| 15. C4×Dic158 | C22 | semidirect |
| 17. C4⋊(C79⋊C8) | C22 | semidirect |
| 18. #14579082 | C22 | semidirect |
| 20. C4×C79⋊C8 | C22 | semidirect |
| 71. C2×C4×C79 | SD16 | semidirect |
| 105. C79 | #3208 | semidirect |
| 180. C2×C4 | #11929612 | semidirect |