Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
444 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 444 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 |
|---|---|---|
| 1. C2×#13063313 | C2 | semidirect |
| 2. #14583286 | C2 | semidirect |
| 3. #14583261 | C2 | semidirect |
| 4. #14583114 | C2 | semidirect |
| 5. #14583037 | C2 | semidirect |
| 6. #14583032 | C2 | semidirect |
| 7. #14582956 | C2 | semidirect |
| 8. C43×#532 | C2 | semidirect |
| 11. C2×#10621883 | C22 | semidirect |
| 19. C4⋊(C43⋊C8) | C22 | semidirect |
| 20. #13063248 | C22 | semidirect |
| 23. #13063236 | C22 | semidirect |
| 25. C4⋊Q8×C43 | C22 | semidirect |
| 26. #127×C43 | C22 | semidirect |
| 31. C4×D4×C43 | C22 | semidirect |
| 121. #532 | D43 | semidirect |
| 129. C43 | #3213 | semidirect |
| 135. C4⋊Q8 | C2×D43 | semidirect |
| 136. #127 | C2×D43 | semidirect |
| 145. C4×D4 | C2×D43 | semidirect |