Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
532 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 532 conjugacy classes of subgroups — too many to draw. Only its 141 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. #14583449 | C2 | semidirect |
| 2. #14583275 | C2 | semidirect |
| 3. #14583245 | C2 | semidirect |
| 4. #14583091 | C2 | semidirect |
| 5. #14583033 | C2 | semidirect |
| 6. #14582952 | C2 | semidirect |
| 7. C2×#127×C43 | C2 | semidirect |
| 9. C2×#10621882 | C22 | semidirect |
| 10. #13063325 | C22 | semidirect |
| 11. #13063322 | C22 | semidirect |
| 16. C4×D172 | C22 | semidirect |
| 17. C4⋊(C43⋊C8) | C22 | semidirect |
| 18. #13063246 | C22 | semidirect |
| 20. C4×C43⋊C8 | C22 | semidirect |
| 73. C2×C4×C43 | D8 | semidirect |
| 114. C2×#127 | D43 | semidirect |
| 120. C43 | #3205 | semidirect |
| 193. C2×C4 | #10621882 | semidirect |