Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
792 conjugacy classes of subgroups; only the 269 normal subgroups are shown.
This group has 792 conjugacy classes of subgroups — too many to draw. Only its 269 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. C23×C43⋊C8 | C2 | semidirect |
| 3. #14582893 | C2 | direct (N × H) |
| 4. C2×#13063248 | C2 | semidirect |
| 5. C2×#13063245 | C2 | semidirect |
| 6. C2×#117×C43 | C2 | semidirect |
| 9. C2×#10621898 | C4 | semidirect |
| 17. C22×C43⋊C8 | C22 | semidirect |
| 18. #13063248 | C22 | semidirect |
| 19. #13063245 | C22 | semidirect |
| 22. #117×C43 | C22 | semidirect |
| 40. #10621898 | C2×C4 | semidirect |
| 104. C2×C43 | #416 | semidirect |
| 110. C2×#117 | D43 | semidirect |
| 114. C43 | C2×#416 | semidirect |
| 128. #117 | C2×D43 | semidirect |
| 212. C2 | #14582893 | direct (N × H) |