Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
418 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 418 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. #14583223 | C2 | semidirect |
| 3. #14583223 | C2 | semidirect |
| 4. #14583217 | C2 | semidirect |
| 5. #14583212 | C2 | semidirect |
| 6. #14582939 | C2 | semidirect |
| 7. #14582935 | C2 | semidirect |
| 8. #14582903 | C2 | semidirect |
| 9. C2×#13063245 | C2 | semidirect |
| 10. #14582866 | C2 | semidirect |
| 11. C43×#520 | C2 | semidirect |
| 21. #13063258 | C22 | semidirect |
| 22. #13063258 | C22 | semidirect |
| 23. #13063258 | C22 | semidirect |
| 24. #13063256 | C22 | semidirect |
| 25. #13063256 | C22 | semidirect |
| 26. #13063256 | C22 | semidirect |
| 31. C22⋊(C43⋊C8) | C22 | semidirect |
| 32. C22⋊(C43⋊C8) | C22 | semidirect |
| 38. #117×C43 | C22 | semidirect |
| 40. C2×C4⋊C4×C43 | C22 | semidirect |
| 136. #520 | D43 | semidirect |
| 146. C43 | #3096 | semidirect |
| 161. #117 | C2×D43 | semidirect |
| 163. C2×C4⋊C4 | C2×D43 | semidirect |