Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
458 conjugacy classes of subgroups; only the 185 normal subgroups are shown.
This group has 458 conjugacy classes of subgroups — too many to draw. Only its 185 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. #14583665 | C2 | semidirect |
| 3. #14583022 | C2 | semidirect |
| 4. #14583017 | C2 | semidirect |
| 5. #14582948 | C2 | semidirect |
| 6. C2×#13063253 | C2 | semidirect |
| 7. C4×M16×C43 | C2 | semidirect |
| 9. #13063358 | C4 | semidirect |
| 10. #13063353 | C4 | semidirect |
| 13. #13063331 | C22 | semidirect |
| 16. #13063261 | C22 | semidirect |
| 17. #13063253 | C22 | semidirect |
| 18. #13063253 | C22 | semidirect |
| 22. #97×C43 | C22 | semidirect |
| 23. C4×C8×C43 | C22 | semidirect |
| 44. Dic172 | C2×C4 | semidirect |
| 45. D344 | C2×C4 | semidirect |
| 46. #10621873 | C2×C4 | semidirect |
| 92. C4×M16 | D43 | semidirect |
| 93. C43 | #2956 | semidirect |
| 108. #97 | C2×D43 | semidirect |
| 109. C4×C8 | C2×D43 | semidirect |