Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
400 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 400 conjugacy classes of subgroups — too many to draw. Only its 121 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. #14583291 | C2 | semidirect |
| 3. #14583261 | C2 | semidirect |
| 4. #14583121 | C2 | semidirect |
| 5. #14583054 | C2 | semidirect |
| 7. #14582956 | C2 | semidirect |
| 8. C43×#533 | C2 | semidirect |
| 11. C2×#10621885 | C22 | semidirect |
| 19. C4⋊(C43⋊C8) | C22 | semidirect |
| 20. #13063248 | C22 | semidirect |
| 23. #13063236 | C22 | semidirect |
| 24. C4⋊Q8×C43 | C22 | semidirect |
| 25. C4⋊Q8×C43 | C22 | semidirect |
| 30. C4×Q8×C43 | C22 | semidirect |
| 113. #533 | D43 | semidirect |
| 121. C43 | #3215 | semidirect |
| 126. C4⋊Q8 | C2×D43 | semidirect |
| 127. C4⋊Q8 | C2×D43 | semidirect |
| 136. C4×Q8 | C2×D43 | semidirect |