Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
266 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 266 conjugacy classes of subgroups — too many to draw. Only its 65 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. #14582923 | C2 | semidirect |
| 3. C2×#13063253 | C2 | semidirect |
| 4. #14582883 | C2 | semidirect |
| 5. #14582881 | C2 | semidirect |
| 6. C43⋊#338 | C2 | semidirect |
| 7. C2×#104×C43 | C2 | semidirect |
| 126. C2×#104 | D43 | semidirect |
| 130. C43 | #2050 | semidirect |