Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
494 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 494 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 |
|---|---|---|
| 2. C22×#11929611 | C2 | semidirect |
| 3. #19099137 | C2 | semidirect |
| 4. #19099037 | C2 | semidirect |
| 5. #19098781 | C2 | semidirect |
| 6. #19098767 | C2 | semidirect |
| 7. #19098591 | C2 | semidirect |
| 8. #19098557 | C2 | semidirect |
| 9. #419×C79 | C2 | semidirect |
| 18. #14579159 | C22 | semidirect |
| 19. #14579150 | C22 | semidirect |
| 26. Dic79⋊C8 | C22 | semidirect |
| 27. #14579084 | C22 | semidirect |
| 28. #14579081 | C22 | semidirect |
| 32. #103×C79 | C22 | semidirect |
| 117. C79 | #3042 | semidirect |
| 125. #419 | D79 | semidirect |
| 148. #103 | C2×D79 | semidirect |