Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
698 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 698 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 |
|---|---|---|
| 1. C2×#14579208 | C2 | semidirect |
| 2. #19099363 | C2 | semidirect |
| 3. #19099361 | C2 | semidirect |
| 4. #19099139 | C2 | semidirect |
| 5. #19098747 | C2 | semidirect |
| 6. #19098737 | C2 | semidirect |
| 7. #19098581 | C2 | semidirect |
| 8. C2×#14579079 | C2 | semidirect |
| 9. #421×C79 | C2 | semidirect |
| 23. #14579194 | C22 | semidirect |
| 25. #14579191 | C22 | semidirect |
| 27. #14579189 | C22 | semidirect |
| 29. #14579186 | C22 | semidirect |
| 33. #14579161 | C22 | semidirect |
| 34. #14579149 | C22 | semidirect |
| 37. #14579089 | C22 | semidirect |
| 38. #14579079 | C22 | semidirect |
| 42. #104×C79 | C22 | semidirect |
| 186. C79 | #3020 | semidirect |
| 194. #421 | D79 | semidirect |
| 227. #104 | C2×D79 | semidirect |