Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
672 conjugacy classes of subgroups; only the 157 normal subgroups are shown.
This group has 672 conjugacy classes of subgroups — too many to draw. Only its 157 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. #19098488 | C2 | semidirect |
| 3. #19098475 | C2 | semidirect |
| 4. #19098457 | C2 | semidirect |
| 5. #19098426 | C2 | semidirect |
| 7. C4×C22⋊Dic79 | C2 | semidirect |
| 9. C22×Dic158 | C22 | semidirect |
| 11. C2×C4⋊Dic79 | C22 | semidirect |
| 12. C2×Dic79⋊C4 | C22 | semidirect |
| 17. C2×C4×Dic79 | C22 | semidirect |
| 18. C79⋊#95 | C22 | semidirect |
| 19. C79⋊#95 | C22 | semidirect |
| 20. C79⋊#95 | C22 | semidirect |
| 111. C79 | #2561 | semidirect |