Finite Group DatabasebetaFinite Group DatabasebetaOrder 10048.
158 conjugacy classes of subgroups; only the 50 normal subgroups are shown.
This group has 158 conjugacy classes of subgroups — too many to draw. Only its 50 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×D157⋊C8 | C2 | semidirect |
| 2. #19097850 | C2 | semidirect |
| 3. #19097834 | C2 | semidirect |
| 4. #19097833 | C2 | semidirect |
| 12. #14578955 | C4 | semidirect |
| 14. #14578954 | C4 | semidirect |
| 16. #14578953 | C4 | semidirect |
| 22. #41×C157 | C4 | semidirect |
| 68. C157 | #416 | semidirect |
| 80. #41 | #10597845 | semidirect |