Finite Group DatabasebetaFinite Group DatabasebetaOrder 10048.
170 conjugacy classes of subgroups; only the 64 normal subgroups are shown.
This group has 170 conjugacy classes of subgroups — too many to draw. Only its 64 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 |
|---|---|---|
| 14. C4⋊Dic157 | C4 | semidirect |
| 15. #14578933 | C4 | semidirect |
| 16. C4⋊C4×C157 | C4 | semidirect |
| 46. C4×C157 | C4⋊C4 | semidirect |
| 48. Dic157 | C4⋊C4 | semidirect |
| 56. C157 | #389 | semidirect |
| 72. C4⋊C4 | #10597845 | semidirect |
| 105. C4 | C4⋊#10597845 | semidirect |