Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
360 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 119 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. M16×Dic43 | C2 | semidirect |
| 4. #14582667 | C2 | semidirect |
| 13. #13063242 | C4 | semidirect |
| 18. #100×C43 | C4 | semidirect |
| 32. M16×C43 | C2×C4 | semidirect |
| 39. #10621877 | C2×C4 | semidirect |
| 79. Dic43 | #100 | direct (N × H) |
| 92. C43 | C4×#100 | semidirect |
| 103. #100 | Dic43 | direct (N × H) |
| 121. M16 | C2×Dic43 | semidirect |