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×#13063250 | C2 | semidirect |
| 4. C2×#13063248 | C2 | semidirect |
| 6. #14582661 | C2 | semidirect |
| 7. C43×#340 | C2 | semidirect |
| 13. #13063305 | C4 | semidirect |
| 47. C2×Dic86 | C2×C4 | semidirect |
| 53. C4⋊C4×C43 | C2×C4 | semidirect |
| 116. C2×D43 | #103 | semidirect |
| 141. #340 | D43 | semidirect |
| 142. C43 | #1872 | semidirect |
| 195. C4⋊C4 | C4×D43 | semidirect |