Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
340 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 340 conjugacy classes of subgroups — too many to draw. Only its 149 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. #14583307 | C2 | semidirect |
| 4. #14583306 | C2 | semidirect |
| 5. #14583300 | C2 | semidirect |
| 6. #14583296 | C2 | semidirect |
| 46. M16×C43 | Q8 | semidirect |
| 70. C2×C43⋊C8 | Q8 | semidirect |
| 124. C43 | #3163 | semidirect |
| 159. M16 | Dic86 | semidirect |