Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
462 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 462 conjugacy classes of subgroups — too many to draw. Only its 137 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×#14579120 | C2 | semidirect |
| 2. #19098884 | C2 | semidirect |
| 3. #19098879 | C2 | semidirect |
| 4. #19098874 | C2 | semidirect |
| 5. #19098603 | C2 | semidirect |
| 6. #19098568 | C2 | semidirect |
| 7. #19098527 | C2 | semidirect |
| 13. #14579120 | C22 | semidirect |
| 14. C2×C4⋊Dic79 | C22 | semidirect |
| 15. C2×C4⋊Dic79 | C22 | semidirect |
| 18. #14579094 | C22 | semidirect |
| 19. #14579092 | C22 | semidirect |
| 20. #14579082 | C22 | semidirect |
| 21. #14579082 | C22 | semidirect |
| 22. C22⋊(C79⋊C8) | C22 | semidirect |
| 23. C22⋊(C79⋊C8) | C22 | semidirect |
| 126. C79 | #3094 | semidirect |