Finite Group DatabasebetaFinite Group DatabasebetaOrder 10048.
194 conjugacy classes of subgroups; only the 84 normal subgroups are shown.
This group has 194 conjugacy classes of subgroups — too many to draw. Only its 84 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 |
|---|---|---|
| 9. C4⋊#10597845 | C4 | semidirect |
| 11. C4×#10597845 | C4 | semidirect |
| 14. C4⋊Dic157 | C4 | semidirect |
| 15. #14578933 | C4 | semidirect |
| 16. C4⋊C4×C157 | C4 | semidirect |
| 44. #10597845 | C4⋊C4 | direct (N × H) |
| 46. C4×C157 | C42 | semidirect |
| 48. Dic157 | C42 | semidirect |
| 56. C157 | C4×C4⋊C4 | semidirect |
| 71. C4⋊C4 | #10597845 | direct (N × H) |
| 105. C4 | C4×#10597845 | semidirect |