Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
468 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 468 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×#14579140 | C2 | semidirect |
| 2. #19098893 | C2 | semidirect |
| 3. #19098879 | C2 | semidirect |
| 4. #19098790 | C2 | semidirect |
| 5. #19098714 | C2 | semidirect |
| 6. #19098701 | C2 | semidirect |
| 7. C2×C22⋊(C79⋊C8) | C2 | semidirect |
| 9. C22×Dic158 | C22 | semidirect |
| 10. C2×#11929612 | C22 | semidirect |
| 11. C22×C79⋊C8 | C22 | semidirect |
| 15. #14579140 | C22 | semidirect |
| 16. C2×C4⋊Dic79 | C22 | semidirect |
| 19. #14579092 | C22 | semidirect |
| 20. #14579084 | C22 | semidirect |
| 21. #14579082 | C22 | semidirect |
| 23. C22⋊(C79⋊C8) | C22 | semidirect |
| 73. C23×C79 | SD16 | semidirect |
| 130. C79 | #3187 | semidirect |
| 203. C23 | #11929612 | semidirect |