Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
656 conjugacy classes of subgroups; only the 157 normal subgroups are shown.
This group has 656 conjugacy classes of subgroups — too many to draw. Only its 157 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. #14583449 | C2 | semidirect |
| 3. #14583286 | C2 | semidirect |
| 4. #14583275 | C2 | semidirect |
| 5. #14583271 | C2 | semidirect |
| 6. C4×#10621877 | C2 | semidirect |
| 7. C2×#127×C43 | C2 | semidirect |
| 10. C2×#10621883 | C22 | semidirect |
| 11. C2×#10621882 | C22 | semidirect |
| 13. #13063325 | C22 | semidirect |
| 14. #13063322 | C22 | semidirect |
| 15. #13063313 | C22 | semidirect |
| 18. #13063236 | C22 | semidirect |
| 19. C4×C43⋊C8 | C22 | semidirect |
| 48. #10621877 | D4 | semidirect |
| 71. C43⋊C8 | C2×D4 | semidirect |
| 82. C4×C43 | AGL(1,ℤ/8) | semidirect |
| 93. C2×#127 | D43 | semidirect |
| 98. C43 | #3151 | semidirect |
| 174. C4 | #13063351 | semidirect |