Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
320 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 320 conjugacy classes of subgroups — too many to draw. Only its 83 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. #14582922 | C2 | semidirect |
| 3. C2×#13063253 | C2 | semidirect |
| 4. C2×#13063252 | C2 | semidirect |
| 5. C2×#13063251 | C2 | semidirect |
| 6. #14582745 | C2 | semidirect |
| 7. C2×#104×C43 | C2 | semidirect |
| 10. #13063323 | C4 | semidirect |
| 11. #13063321 | C4 | semidirect |
| 12. #13063314 | C4 | semidirect |
| 13. #13063312 | C4 | semidirect |
| 52. C42×C43 | D4 | semidirect |
| 60. C4×Dic43 | D4 | semidirect |
| 131. C2×#104 | D43 | semidirect |
| 133. C43 | #1963 | semidirect |
| 189. C42 | C22⋊D43 | semidirect |