Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
462 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 462 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. #14583223 | C2 | semidirect |
| 3. #14583217 | C2 | semidirect |
| 4. #14583212 | C2 | semidirect |
| 5. #14582942 | C2 | semidirect |
| 6. #14582903 | C2 | semidirect |
| 7. #14582863 | C2 | semidirect |
| 8. C2×#117×C43 | C2 | semidirect |
| 18. #13063258 | C22 | semidirect |
| 19. #13063256 | C22 | semidirect |
| 20. #13063245 | C22 | semidirect |
| 21. #13063245 | C22 | semidirect |
| 22. C22⋊(C43⋊C8) | C22 | semidirect |
| 23. C22⋊(C43⋊C8) | C22 | semidirect |
| 28. #117×C43 | C22 | semidirect |
| 29. C2×C4⋊C4×C43 | C22 | semidirect |
| 30. C2×C4⋊C4×C43 | C22 | semidirect |
| 127. C2×#117 | D43 | semidirect |
| 134. C43 | #3094 | semidirect |
| 146. #117 | C2×D43 | semidirect |
| 148. C2×C4⋊C4 | C2×D43 | semidirect |
| 149. C2×C4⋊C4 | C2×D43 | semidirect |