Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
446 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 446 conjugacy classes of subgroups — too many to draw. Only its 145 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 |
|---|---|---|
| 2. C2×#14579194 | C2 | semidirect |
| 3. C2×#14579191 | C2 | semidirect |
| 4. #19098838 | C2 | semidirect |
| 5. #19098826 | C2 | semidirect |
| 6. #19098612 | C2 | semidirect |
| 7. #19098545 | C2 | semidirect |
| 8. C2×#14579079 | C2 | semidirect |
| 9. #568×C79 | C2 | semidirect |
| 21. C2×Dic316 | C22 | semidirect |
| 23. C2×#11929613 | C22 | semidirect |
| 27. #14579097 | C22 | semidirect |
| 28. #14579079 | C22 | semidirect |
| 29. #14579079 | C22 | semidirect |
| 30. #14579077 | C22 | semidirect |
| 143. C79 | #3069 | semidirect |
| 147. #568 | D79 | semidirect |