Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
428 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 428 conjugacy classes of subgroups — too many to draw. Only its 123 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 |
|---|---|---|
| 2. C2×#13063323 | C2 | semidirect |
| 3. #14583270 | C2 | semidirect |
| 4. #14583248 | C2 | semidirect |
| 5. #14583103 | C2 | semidirect |
| 6. #14583102 | C2 | semidirect |
| 7. #14583040 | C2 | semidirect |
| 8. #14583038 | C2 | semidirect |
| 9. #14583037 | C2 | semidirect |
| 10. #14582949 | C2 | semidirect |
| 11. C43×#448 | C2 | semidirect |
| 107. C2×Dic43 | SD16 | semidirect |
| 156. #448 | D43 | semidirect |
| 158. C43 | #3206 | semidirect |