Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
488 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 488 conjugacy classes of subgroups — too many to draw. Only its 125 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. #19099118 | C2 | semidirect |
| 3. #19098936 | C2 | semidirect |
| 4. #19098935 | C2 | semidirect |
| 5. #19098911 | C2 | semidirect |
| 6. #19098762 | C2 | semidirect |
| 7. #19098715 | C2 | semidirect |
| 8. #19098614 | C2 | semidirect |
| 9. #486×C79 | C2 | semidirect |
| 13. C2×#11929613 | C22 | semidirect |
| 14. C2×#11929612 | C22 | semidirect |
| 15. #14579161 | C22 | semidirect |
| 24. #14579126 | C22 | semidirect |
| 27. Dic79⋊C8 | C22 | semidirect |
| 28. #14579081 | C22 | semidirect |
| 30. C4×C79⋊C8 | C22 | semidirect |
| 31. C4⋊Q8×C79 | C22 | semidirect |
| 33. #102×C79 | C22 | semidirect |
| 34. C4×C8×C79 | C22 | semidirect |
| 95. C4×D79 | SD16 | semidirect |
| 125. C79 | #3208 | semidirect |
| 131. #486 | D79 | semidirect |
| 141. C4⋊Q8 | C2×D79 | semidirect |
| 156. #102 | C2×D79 | semidirect |
| 159. C4×C8 | C2×D79 | semidirect |