Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
396 conjugacy classes of subgroups; only the 157 normal subgroups are shown.
This group has 396 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 |
|---|---|---|
| 2. C2×C4×C43⋊C8 | C2 | semidirect |
| 3. C4×C4⋊Dic43 | C2 | semidirect |
| 4. #14582661 | C2 | semidirect |
| 9. #13063246 | C4 | direct (N × H) |
| 15. C4×D4×C43 | C4 | semidirect |
| 38. C4⋊Dic43 | C2×C4 | semidirect |
| 42. C2×C43⋊C8 | C2×C4 | semidirect |
| 51. D4×C43 | C42 | semidirect |
| 81. C4×C43 | #102 | semidirect |
| 98. C43 | C4×#102 | semidirect |
| 103. C4×D4 | Dic43 | semidirect |
| 144. D4 | C4×Dic43 | semidirect |
| 175. C4 | #13063246 | direct (N × H) |