Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
390 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 390 conjugacy classes of subgroups — too many to draw. Only its 133 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 |
|---|---|---|
| 2. #14583229 | C2 | semidirect |
| 4. #14583206 | C2 | semidirect |
| 5. #14583121 | C2 | semidirect |
| 6. #14583055 | C2 | semidirect |
| 8. C4×#10621885 | C2 | semidirect |
| 9. C4×#10621884 | C2 | semidirect |
| 10. #14582952 | C2 | semidirect |
| 11. C2×C4×Q8×C43 | C2 | semidirect |
| 133. C2×C4×Q8 | D43 | semidirect |
| 143. C43 | #3108 | semidirect |