Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
428 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 428 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 |
|---|---|---|
| 2. C2×Dic43⋊C8 | C2 | semidirect |
| 3. C2×#13063247 | C2 | semidirect |
| 4. C2×#13063246 | C2 | semidirect |
| 5. C2×#13063245 | C2 | semidirect |
| 6. C4⋊C4×Dic43 | C2 | semidirect |
| 7. C2×#102×C43 | C2 | semidirect |
| 13. #13063321 | C4 | semidirect |
| 55. C4⋊C4×C43 | D4 | semidirect |
| 57. C4⋊Dic43 | D4 | semidirect |
| 137. Dic43 | #102 | semidirect |
| 153. C2×#102 | D43 | semidirect |
| 155. C43 | #1982 | semidirect |
| 208. C4⋊C4 | C22⋊D43 | semidirect |