Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
500 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 500 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×#14579194 | C2 | semidirect |
| 3. C2×#14579149 | C2 | semidirect |
| 4. C4×#11929624 | C2 | semidirect |
| 5. #19098786 | C2 | semidirect |
| 6. #19098779 | C2 | semidirect |
| 7. #19098573 | C2 | semidirect |
| 8. #19098569 | C2 | semidirect |
| 9. #423×C79 | C2 | semidirect |
| 15. C2×Dic316 | C22 | semidirect |
| 17. C2×#11929613 | C22 | semidirect |
| 22. C4×Dic158 | C22 | semidirect |
| 23. C4×D316 | C22 | semidirect |
| 29. #14579086 | C22 | semidirect |
| 34. C4⋊C8×C79 | C22 | semidirect |
| 126. C79 | #3040 | semidirect |
| 133. #423 | D79 | semidirect |
| 158. C4⋊C8 | C2×D79 | semidirect |