Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
584 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 584 conjugacy classes of subgroups — too many to draw. Only its 149 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×#13063351 | C2 | semidirect |
| 2. C4×#10621898 | C2 | semidirect |
| 3. #14583096 | C2 | semidirect |
| 4. #14583091 | C2 | semidirect |
| 5. #14582923 | C2 | semidirect |
| 6. #14582904 | C2 | semidirect |
| 7. C2×#127×C43 | C2 | semidirect |
| 10. C2×#10621883 | C22 | semidirect |
| 11. C2×#10621882 | C22 | semidirect |
| 13. C4×Dic86 | C22 | semidirect |
| 14. C4×D172 | C22 | semidirect |
| 19. C4⋊(C43⋊C8) | C22 | semidirect |
| 20. #13063246 | C22 | semidirect |
| 39. #10621898 | D4 | semidirect |
| 78. D172 | C2×D4 | semidirect |
| 82. Dic86 | C2×D4 | semidirect |
| 94. C4×C43 | AGL(1,ℤ/8) | semidirect |
| 106. C2×#127 | D43 | semidirect |
| 112. C43 | #3038 | semidirect |
| 201. C4 | #13063351 | semidirect |