Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
552 conjugacy classes of subgroups; only the 205 normal subgroups are shown.
This group has 552 conjugacy classes of subgroups — too many to draw. Only its 205 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×#13063290 | C2 | semidirect |
| 4. #14582990 | C2 | direct (N × H) |
| 5. C2×#13063256 | C2 | semidirect |
| 6. C2×#13063250 | C2 | semidirect |
| 7. C2×C8×Dic43 | C2 | semidirect |
| 11. C2×#10621883 | C4 | semidirect |
| 15. #13063290 | C22 | semidirect |
| 23. #13063256 | C22 | semidirect |
| 24. #13063250 | C22 | semidirect |
| 25. C8×Dic43 | C22 | semidirect |
| 45. C2×Dic86 | C2×C4 | semidirect |
| 52. #10621883 | C2×C4 | semidirect |
| 59. C2×C43⋊C8 | C2×C4 | semidirect |
| 81. C2×Dic43 | SD16 | semidirect |
| 86. Dic86 | C22×C4 | semidirect |
| 88. C43⋊C8 | C22×C4 | semidirect |
| 104. Dic43 | C2×SD16 | semidirect |
| 107. C2×C43 | C4×SD16 | semidirect |
| 119. C43 | C2×C4×SD16 | semidirect |
| 217. C2 | #14582990 | direct (N × H) |