Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
420 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 420 conjugacy classes of subgroups — too many to draw. Only its 115 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 |
|---|---|---|
| 2. C2×#14579137 | C2 | semidirect |
| 3. #19098902 | C2 | semidirect |
| 4. #19098894 | C2 | semidirect |
| 5. #19098874 | C2 | semidirect |
| 6. #19098803 | C2 | semidirect |
| 7. #19098789 | C2 | semidirect |
| 8. #19098722 | C2 | semidirect |
| 9. #19098719 | C2 | semidirect |
| 10. C22⋊C8×D79 | C2 | semidirect |
| 11. #448×C79 | C2 | semidirect |
| 14. C2×#11929614 | C22 | semidirect |
| 31. #14579094 | C22 | semidirect |
| 32. #14579093 | C22 | semidirect |
| 33. #14579086 | C22 | semidirect |
| 34. #14579085 | C22 | semidirect |
| 35. #14579082 | C22 | semidirect |
| 39. C2×SD16×C79 | C22 | semidirect |
| 41. #103×C79 | C22 | semidirect |
| 150. C79 | #3190 | semidirect |
| 160. #448 | D79 | semidirect |
| 166. C2×SD16 | C2×D79 | semidirect |
| 188. #103 | C2×D79 | semidirect |