Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
472 conjugacy classes of subgroups; only the 189 normal subgroups are shown.
This group has 472 conjugacy classes of subgroups — too many to draw. Only its 189 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. C2×#13063331 | C2 | semidirect |
| 3. #14583017 | C2 | direct (N × H) |
| 4. C2×#13063261 | C2 | semidirect |
| 5. C2×#13063253 | C2 | semidirect |
| 6. C2×C4×C8×C43 | C2 | semidirect |
| 8. #13063347 | C4 | semidirect |
| 10. C2×Dic172 | C4 | semidirect |
| 11. C2×#10621873 | C4 | semidirect |
| 12. C2×D344 | C4 | semidirect |
| 14. #13063331 | C22 | semidirect |
| 18. #13063261 | C22 | semidirect |
| 19. #13063253 | C22 | semidirect |
| 23. C4×C8×C43 | C22 | semidirect |
| 47. Dic172 | C2×C4 | semidirect |
| 48. D344 | C2×C4 | semidirect |
| 49. #10621873 | C2×C4 | semidirect |
| 91. C2×C43 | #443 | semidirect |
| 99. C2×C4×C8 | D43 | semidirect |
| 100. C43 | C2×#443 | semidirect |
| 117. C4×C8 | C2×D43 | semidirect |
| 185. C2 | #14583017 | direct (N × H) |