Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
398 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 398 conjugacy classes of subgroups — too many to draw. Only its 123 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. #14583554 | C2 | semidirect |
| 2. #14583251 | C2 | semidirect |
| 3. #14583240 | C2 | semidirect |
| 4. #14583186 | C2 | semidirect |
| 5. #14583126 | C2 | semidirect |
| 6. #14583104 | C2 | semidirect |
| 7. #14583042 | C2 | semidirect |
| 8. C4×#10621882 | C2 | semidirect |
| 9. D4×C43⋊C8 | C2 | semidirect |
| 10. #14582893 | C2 | semidirect |
| 11. C43×#555 | C2 | semidirect |
| 131. #555 | D43 | semidirect |
| 142. C43 | #3303 | semidirect |