Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
1024 conjugacy classes of subgroups; only the 469 normal subgroups are shown.
This group has 1024 conjugacy classes of subgroups — too many to draw. Only its 469 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. #19099313 | C2 | direct (N × H) |
| 2. C2×#14579159 | C2 | semidirect |
| 3. C2×#14579154 | C2 | semidirect |
| 4. C2×#14579153 | C2 | semidirect |
| 6. C2×#14579138 | C2 | semidirect |
| 10. #14579159 | C22 | semidirect |
| 11. #14579154 | C22 | semidirect |
| 12. #14579153 | C22 | semidirect |
| 14. #14579138 | C22 | semidirect |
| 82. C2×C79 | #563 | semidirect |
| 86. C79 | C2×#563 | semidirect |
| 168. C2 | #19099313 | direct (N × H) |