Finite Group DatabasebetaFinite Group DatabasebetaOrder 10048.
266 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 266 conjugacy classes of subgroups — too many to draw. Only its 111 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×#14578954 | C2 | semidirect |
| 2. #19097791 | C2 | direct (N × H) |
| 3. C2×#14578944 | C2 | semidirect |
| 4. C2×#14578942 | C2 | semidirect |
| 5. C2×#14578941 | C2 | semidirect |
| 6. C2×#14578939 | C2 | semidirect |
| 7. C22×#11929434 | C2 | semidirect |
| 8. C2×#41×C157 | C2 | semidirect |
| 10. #14578954 | C22 | semidirect |
| 15. #14578944 | C22 | semidirect |
| 16. #14578942 | C22 | semidirect |
| 17. #14578941 | C22 | semidirect |
| 18. #14578939 | C22 | semidirect |
| 21. C2×#11929434 | C22 | semidirect |
| 23. #41×C157 | C22 | semidirect |
| 66. C2×C157 | #135 | semidirect |
| 69. C157 | C2×#135 | semidirect |
| 72. C2×#41 | D157 | semidirect |
| 82. #41 | C2×D157 | semidirect |
| 137. C2 | #19097791 | direct (N × H) |