Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
162 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 162 conjugacy classes of subgroups — too many to draw. Only its 65 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. #14582726 | C2 | semidirect |
| 4. #14582703 | C2 | semidirect |
| 6. C4×C43⋊C16 | C2 | semidirect |
| 7. C4×Q16×C43 | C2 | semidirect |
| 10. #13063268 | C4 | direct (N × H) |
| 24. Q16×C43 | C2×C4 | semidirect |
| 36. C43⋊C16 | C2×C4 | semidirect |
| 59. C4×C43 | SD32 | semidirect |
| 69. C4×Q16 | D43 | semidirect |
| 75. C43 | C4×SD32 | semidirect |
| 92. Q16 | C4×D43 | semidirect |
| 128. C4 | #13063268 | direct (N × H) |