Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
520 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 520 conjugacy classes of subgroups — too many to draw. Only its 133 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×#14579180 | C2 | semidirect |
| 2. C22×C8×D79 | C2 | semidirect |
| 3. #19099073 | C2 | semidirect |
| 4. #19098805 | C2 | semidirect |
| 5. #19098804 | C2 | semidirect |
| 6. #19098796 | C2 | semidirect |
| 7. #19098791 | C2 | semidirect |
| 8. #19098790 | C2 | semidirect |
| 9. #19098600 | C2 | semidirect |
| 10. #19098556 | C2 | semidirect |
| 11. #466×C79 | C2 | semidirect |
| 15. C2×Dic316 | C22 | semidirect |
| 16. C2×#11929612 | C22 | semidirect |
| 31. #14579095 | C22 | semidirect |
| 32. #14579092 | C22 | semidirect |
| 33. #14579086 | C22 | semidirect |
| 34. #14579084 | C22 | semidirect |
| 35. #14579082 | C22 | semidirect |
| 36. C2×D8×C79 | C22 | semidirect |
| 39. #107×C79 | C22 | semidirect |
| 40. #102×C79 | C22 | semidirect |
| 63. C8×D79 | D4 | semidirect |
| 121. C22×C79 | #135 | semidirect |
| 129. C2×D79 | #135 | semidirect |
| 146. C79 | #3050 | semidirect |
| 153. #466 | D79 | semidirect |
| 163. C2×D8 | C2×D79 | semidirect |
| 181. #107 | C2×D79 | semidirect |
| 186. #102 | C2×D79 | semidirect |
| 274. C22 | #14579180 | semidirect |