Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
760 conjugacy classes of subgroups; only the 165 normal subgroups are shown.
This group has 760 conjugacy classes of subgroups — too many to draw. Only its 165 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×#13063355 | C2 | semidirect |
| 2. C2×#13063312 | C2 | semidirect |
| 3. #14583077 | C2 | direct (N × H) |
| 4. C2×#13063252 | C2 | semidirect |
| 5. C2×#13063242 | C2 | semidirect |
| 7. C22×Dic86 | C22 | semidirect |
| 9. #13063355 | C22 | semidirect |
| 12. C2×#10621877 | C22 | semidirect |
| 14. #13063312 | C22 | semidirect |
| 16. C2×C4×Dic43 | C22 | semidirect |
| 17. #13063252 | C22 | semidirect |
| 18. #13063242 | C22 | semidirect |
| 55. C2×Dic86 | C23 | semidirect |
| 60. C4×Dic43 | C23 | semidirect |
| 62. #10621877 | C23 | semidirect |
| 118. C2×C43 | #455 | semidirect |
| 126. C43 | C2×#455 | semidirect |
| 237. C2 | #14583077 | direct (N × H) |