Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
412 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 412 conjugacy classes of subgroups — too many to draw. Only its 117 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. C4×C22⋊Dic43 | C2 | semidirect |
| 4. #14582665 | C2 | semidirect |
| 5. C4×C22⋊C4×C43 | C2 | semidirect |
| 7. C22×C4×D43 | C4 | semidirect |
| 12. C2×Dic43⋊C4 | C4 | semidirect |
| 15. C2×(C2×D43)⋊C4 | C4 | semidirect |
| 17. C2×C4×Dic43 | C4 | semidirect |
| 18. #13063239 | C4 | direct (N × H) |
| 46. C22⋊C4×C43 | C2×C4 | semidirect |
| 51. C22⋊Dic43 | C2×C4 | semidirect |
| 70. C22×D43 | C42 | semidirect |
| 95. C2×Dic43 | C42 | semidirect |
| 120. C4×C43 | #99 | semidirect |
| 137. C4×C22⋊C4 | D43 | semidirect |
| 139. C43 | C4×#99 | semidirect |
| 188. C22⋊C4 | C4×D43 | semidirect |
| 258. C4 | #13063239 | direct (N × H) |