Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
444 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 444 conjugacy classes of subgroups — too many to draw. Only its 113 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. #19099108 | C2 | semidirect |
| 2. C2×#14579148 | C2 | semidirect |
| 3. #19098951 | C2 | semidirect |
| 4. #19098921 | C2 | semidirect |
| 5. #19098777 | C2 | semidirect |
| 6. #19098776 | C2 | semidirect |
| 7. #19098704 | C2 | semidirect |
| 8. #19098701 | C2 | semidirect |
| 9. #19098697 | C2 | semidirect |
| 10. #19098617 | C2 | semidirect |
| 11. #447×C79 | C2 | semidirect |
| 14. C2×#11929613 | C22 | semidirect |
| 15. C2×#11929612 | C22 | semidirect |
| 17. #14579160 | C22 | semidirect |
| 18. #14579157 | C22 | semidirect |
| 26. D4×Dic79 | C22 | semidirect |
| 27. #14579123 | C22 | semidirect |
| 32. Dic79⋊C8 | C22 | semidirect |
| 33. #14579086 | C22 | semidirect |
| 34. #14579084 | C22 | semidirect |
| 37. #14579071 | C22 | semidirect |
| 153. C79 | #3213 | semidirect |
| 163. #447 | D79 | semidirect |