Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
156 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 156 conjugacy classes of subgroups — too many to draw. Only its 85 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 |
|---|---|---|
| 3. #14582726 | C2 | semidirect |
| 4. #14582724 | C2 | semidirect |
| 7. #13063265 | C4 | semidirect |
| 28. C43⋊C16 | C2×C4 | semidirect |
| 61. C43 | #2159 | semidirect |