Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
444 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 444 conjugacy classes of subgroups — too many to draw. Only its 129 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 |
| 3. #19098899 | C2 | semidirect |
| 4. #19098844 | C2 | semidirect |
| 5. #19098769 | C2 | semidirect |
| 7. #19098665 | C2 | semidirect |
| 8. #432×C79 | C2 | semidirect |
| 12. #14579161 | C22 | semidirect |
| 13. #14579161 | C22 | semidirect |
| 18. C4×Dic158 | C22 | semidirect |
| 26. #14579095 | C22 | semidirect |
| 27. #14579086 | C22 | semidirect |
| 30. C4⋊C8×C79 | C22 | semidirect |
| 32. #97×C79 | C22 | semidirect |
| 113. C79 | #3110 | semidirect |
| 121. #432 | D79 | semidirect |
| 141. C4⋊C8 | C2×D79 | semidirect |
| 145. #97 | C2×D79 | semidirect |