Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
584 conjugacy classes of subgroups; only the 157 normal subgroups are shown.
This group has 584 conjugacy classes of subgroups — too many to draw. Only its 157 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 |
|---|---|---|
| 1. C22×#10621873 | C2 | semidirect |
| 2. C22×#10621883 | C2 | semidirect |
| 4. C2×#13063290 | C2 | semidirect |
| 5. #14583098 | C2 | direct (N × H) |
| 6. C2×Dic43⋊C8 | C2 | semidirect |
| 7. C2×#13063245 | C2 | semidirect |
| 8. C2×#102×C43 | C2 | semidirect |
| 14. C2×#10621873 | C22 | semidirect |
| 16. C2×#10621883 | C22 | semidirect |
| 21. #13063290 | C22 | semidirect |
| 25. Dic43⋊C8 | C22 | semidirect |
| 26. #13063245 | C22 | semidirect |
| 30. #102×C43 | C22 | semidirect |
| 52. C2×Dic86 | D4 | semidirect |
| 89. C2×Dic43 | SD16 | semidirect |
| 97. Dic86 | C2×D4 | semidirect |
| 118. Dic43 | C2×SD16 | semidirect |
| 121. C2×C43 | #460 | semidirect |
| 133. C2×#102 | D43 | semidirect |
| 134. C43 | C2×#460 | semidirect |
| 156. #102 | C2×D43 | semidirect |
| 247. C2 | #14583098 | direct (N × H) |