Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
528 conjugacy classes of subgroups; only the 157 normal subgroups are shown.
This group has 528 conjugacy classes of subgroups — too many to draw. Only its 157 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×#13063324 | C2 | semidirect |
| 3. #14583244 | C2 | direct (N × H) |
| 4. C2×#13063247 | C2 | semidirect |
| 5. C2×#13063246 | C2 | semidirect |
| 6. C2×#13063245 | C2 | semidirect |
| 7. C2×C8×Dic43 | C2 | semidirect |
| 8. C2×#102×C43 | C2 | semidirect |
| 15. #13063324 | C22 | semidirect |
| 21. #13063247 | C22 | semidirect |
| 22. #13063246 | C22 | semidirect |
| 23. #13063245 | C22 | semidirect |
| 24. C8×Dic43 | C22 | semidirect |
| 28. #102×C43 | C22 | semidirect |
| 114. C2×C43 | #486 | semidirect |
| 125. C2×#102 | D43 | semidirect |
| 127. C43 | C2×#486 | semidirect |
| 146. #102 | C2×D43 | semidirect |
| 233. C2 | #14583244 | direct (N × H) |