Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
564 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 564 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×#13063356 | C2 | semidirect |
| 2. C2×#13063351 | C2 | semidirect |
| 3. C2×#13063347 | C2 | semidirect |
| 4. #14583473 | C2 | semidirect |
| 5. #14583466 | C2 | semidirect |
| 6. #14583290 | C2 | semidirect |
| 7. #14583285 | C2 | semidirect |
| 8. #14583280 | C2 | semidirect |
| 9. #14583270 | C2 | semidirect |
| 10. #14582854 | C2 | semidirect |
| 11. C22×SD16×C43 | C2 | semidirect |
| 17. C2×Dic172 | C22 | semidirect |
| 18. C2×#10621885 | C22 | semidirect |
| 19. C2×#10621873 | C22 | semidirect |
| 20. C2×#10621873 | C22 | semidirect |
| 22. C2×#10621884 | C22 | semidirect |
| 23. C2×D344 | C22 | semidirect |
| 26. #13063323 | C22 | semidirect |
| 28. #13063314 | C22 | semidirect |
| 35. #13063235 | C22 | semidirect |
| 36. C8×Dic43 | C22 | semidirect |
| 69. C2×C8×C43 | D4 | semidirect |
| 82. #10621877 | D4 | semidirect |
| 152. C22×SD16 | D43 | semidirect |
| 160. C43 | #3154 | semidirect |
| 228. C2×C8 | C22⋊D43 | semidirect |