Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
492 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 492 conjugacy classes of subgroups — too many to draw. Only its 141 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×C4×D172 | C2 | semidirect |
| 2. #14583210 | C2 | semidirect |
| 3. #14583176 | C2 | semidirect |
| 4. #14583091 | C2 | semidirect |
| 5. #14583032 | C2 | semidirect |
| 6. C4×#10621882 | C2 | semidirect |
| 7. #14582952 | C2 | semidirect |
| 8. C43×#532 | C2 | semidirect |
| 18. #13063258 | C22 | semidirect |
| 19. C4⋊(C43⋊C8) | C22 | semidirect |
| 20. #13063246 | C22 | semidirect |
| 23. C4×C43⋊C8 | C22 | semidirect |
| 25. C4⋊Q8×C43 | C22 | semidirect |
| 26. #127×C43 | C22 | semidirect |
| 31. C4×D4×C43 | C22 | semidirect |
| 80. C2×C4×C43 | D8 | semidirect |
| 91. D172 | #41 | semidirect |
| 121. #532 | D43 | semidirect |
| 129. C43 | #3100 | semidirect |
| 134. C4⋊Q8 | C2×D43 | semidirect |
| 135. #127 | C2×D43 | semidirect |
| 144. C4×D4 | C2×D43 | semidirect |
| 208. C2×C4 | #10621882 | semidirect |