Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
728 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 728 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×#13063373 | C2 | semidirect |
| 2. C2×#13063353 | C2 | semidirect |
| 3. C2×#13063314 | C2 | semidirect |
| 4. #14583074 | C2 | direct (N × H) |
| 5. C2×#13063251 | C2 | semidirect |
| 6. C2×#101×C43 | C2 | semidirect |
| 9. #13063373 | C22 | semidirect |
| 16. #13063353 | C22 | semidirect |
| 20. #13063314 | C22 | semidirect |
| 23. #13063251 | C22 | semidirect |
| 26. #101×C43 | C22 | semidirect |
| 114. C2×C43 | #454 | semidirect |
| 123. C2×#101 | D43 | semidirect |
| 124. C43 | C2×#454 | semidirect |
| 144. #101 | C2×D43 | semidirect |
| 233. C2 | #14583074 | direct (N × H) |