Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
404 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 404 conjugacy classes of subgroups — too many to draw. Only its 107 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. C2×#13063249 | C2 | semidirect |
| 5. #14582662 | C2 | semidirect |
| 6. #14582661 | C2 | semidirect |
| 7. C2×#103×C43 | C2 | semidirect |
| 12. #13063301 | C4 | semidirect |
| 32. C2×Q8×C43 | C2×C4 | semidirect |
| 56. C4⋊Dic43 | C2×C4 | semidirect |
| 116. C2×D43 | #103 | semidirect |
| 138. C2×#103 | D43 | semidirect |
| 142. C43 | #1872 | semidirect |
| 167. C2×Q8 | C4×D43 | semidirect |