Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
360 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 109 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 |
|---|---|---|
| 4. M16×Dic43 | C2 | semidirect |
| 5. C42×Dic43 | C2 | semidirect |
| 6. #14582658 | C2 | semidirect |
| 7. C43×#339 | C2 | semidirect |
| 10. #13063290 | C4 | semidirect |
| 11. #13063287 | C4 | semidirect |
| 18. #13063253 | C4 | semidirect |
| 19. #13063251 | C4 | semidirect |
| 39. M16×C43 | C2×C4 | semidirect |
| 45. C42×C43 | C2×C4 | semidirect |
| 52. C4×Dic43 | C2×C4 | semidirect |
| 56. #10621877 | C2×C4 | semidirect |
| 78. D172 | C42 | semidirect |
| 83. Dic86 | C42 | semidirect |
| 101. Dic43 | #104 | semidirect |
| 114. #339 | D43 | semidirect |
| 115. C43 | C4×#104 | semidirect |
| 149. M16 | C4×D43 | semidirect |
| 165. C42 | C4×D43 | semidirect |