Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
444 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 444 conjugacy classes of subgroups — too many to draw. Only its 119 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. #19099115 | C2 | semidirect |
| 3. #19098898 | C2 | semidirect |
| 4. #19098842 | C2 | semidirect |
| 5. #19098767 | C2 | semidirect |
| 8. #19098666 | C2 | semidirect |
| 9. #19098662 | C2 | semidirect |
| 10. #19098617 | C2 | semidirect |
| 11. #484×C79 | C2 | semidirect |
| 16. #14579160 | C22 | semidirect |
| 17. #14579159 | C22 | semidirect |
| 21. Q8×Dic79 | C22 | semidirect |
| 23. #14579126 | C22 | semidirect |
| 31. #14579094 | C22 | semidirect |
| 32. Dic79⋊C8 | C22 | semidirect |
| 33. #14579084 | C22 | semidirect |
| 37. #14579071 | C22 | semidirect |
| 40. #107×C79 | C22 | semidirect |
| 41. #103×C79 | C22 | semidirect |
| 137. C79 | #3110 | semidirect |
| 141. #484 | D79 | semidirect |
| 171. #107 | C2×D79 | semidirect |
| 174. #103 | C2×D79 | semidirect |