Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
370 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 370 conjugacy classes of subgroups — too many to draw. Only its 125 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 |
|---|---|---|
| 1. #14583433 | C2 | semidirect |
| 2. #14583301 | C2 | semidirect |
| 3. #14583283 | C2 | semidirect |
| 4. #14583254 | C2 | semidirect |
| 5. #14583157 | C2 | semidirect |
| 7. #14583145 | C2 | semidirect |
| 8. #14583012 | C2 | semidirect |
| 9. #14583007 | C2 | semidirect |
| 10. #14583001 | C2 | semidirect |
| 11. C4×M16×C43 | C2 | semidirect |
| 120. C4×M16 | D43 | semidirect |
| 121. C43 | #3183 | semidirect |