Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
446 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 446 conjugacy classes of subgroups — too many to draw. Only its 137 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. C2×#13063356 | C2 | semidirect |
| 3. #14583666 | C2 | semidirect |
| 4. #14583172 | C2 | semidirect |
| 5. #14583164 | C2 | semidirect |
| 6. #14582947 | C2 | semidirect |
| 7. #14582881 | C2 | semidirect |
| 8. C2×#13063244 | C2 | semidirect |
| 9. C2×#137×C43 | C2 | semidirect |
| 18. C2×#10621885 | C22 | semidirect |
| 19. C2×#10621884 | C22 | semidirect |
| 26. #13063260 | C22 | semidirect |
| 27. #13063244 | C22 | semidirect |
| 28. #13063243 | C22 | semidirect |
| 29. #13063241 | C22 | semidirect |
| 145. C2×#137 | D43 | semidirect |
| 152. C43 | #3069 | semidirect |