Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
592 conjugacy classes of subgroups; only the 165 normal subgroups are shown.
This group has 592 conjugacy classes of subgroups — too many to draw. Only its 165 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. C22×#10621885 | C2 | semidirect |
| 2. C22×#10621883 | C2 | semidirect |
| 3. C22×#10621884 | C2 | semidirect |
| 5. C2×#13063313 | C2 | semidirect |
| 6. #14583281 | C2 | direct (N × H) |
| 7. C2×C4×C43⋊C8 | C2 | semidirect |
| 8. C2×#124×C43 | C2 | semidirect |
| 12. C2×#10621885 | C22 | semidirect |
| 14. C2×#10621883 | C22 | semidirect |
| 16. C2×#10621884 | C22 | semidirect |
| 22. #13063313 | C22 | semidirect |
| 24. C4×C43⋊C8 | C22 | semidirect |
| 28. #124×C43 | C22 | semidirect |
| 113. C2×C43 | #495 | semidirect |
| 122. C2×#124 | D43 | semidirect |
| 125. C43 | C2×#495 | semidirect |
| 143. #124 | C2×D43 | semidirect |
| 230. C2 | #14583281 | direct (N × H) |