Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
348 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 348 conjugacy classes of subgroups — too many to draw. Only its 71 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. #14583473 | C2 | semidirect |
| 3. #14582915 | C2 | semidirect |
| 4. #14582908 | C2 | semidirect |
| 5. #14582873 | C2 | semidirect |
| 6. #14582671 | C2 | semidirect |
| 7. C2×#137×C43 | C2 | semidirect |
| 138. C2×#137 | D43 | semidirect |
| 144. C43 | #2009 | semidirect |