Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
456 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 456 conjugacy classes of subgroups — too many to draw. Only its 125 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. C2×#13063245 | C2 | semidirect |
| 3. C2×C22⋊(C43⋊C8) | C2 | semidirect |
| 4. #14582661 | C2 | semidirect |
| 5. C22×C4⋊C4×C43 | C2 | semidirect |
| 10. #13063299 | C4 | semidirect |
| 39. C2×D172 | C2×C4 | semidirect |
| 42. C4⋊C4×C43 | D4 | semidirect |
| 45. C4⋊Dic43 | C2×C4 | semidirect |
| 90. C22×C43 | #102 | semidirect |
| 121. C22×C4⋊C4 | D43 | semidirect |
| 125. C43 | #1874 | semidirect |
| 167. C4⋊C4 | C22⋊D43 | semidirect |
| 217. C22 | #13063245 | semidirect |