Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
668 conjugacy classes of subgroups; only the 165 normal subgroups are shown.
This group has 668 conjugacy classes of subgroups — too many to draw. Only its 165 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. #19098499 | C2 | semidirect |
| 3. #19098486 | C2 | semidirect |
| 4. #19098475 | C2 | semidirect |
| 5. #19098436 | C2 | semidirect |
| 6. #19098423 | C2 | semidirect |
| 9. C22×Dic158 | C22 | semidirect |
| 11. C2×C4⋊Dic79 | C22 | semidirect |
| 12. C2×C4⋊Dic79 | C22 | semidirect |
| 13. C2×Dic79⋊C4 | C22 | semidirect |
| 14. C2×Dic79⋊C4 | C22 | semidirect |
| 19. C79⋊#95 | C22 | semidirect |
| 20. C79⋊#95 | C22 | semidirect |
| 44. C24×C79 | Q8 | semidirect |
| 118. C79 | #2626 | semidirect |
| 149. C24 | Dic158 | semidirect |