Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
564 conjugacy classes of subgroups; only the 157 normal subgroups are shown.
This group has 564 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. C22×#10621873 | C2 | semidirect |
| 3. C2×#13063313 | C2 | semidirect |
| 4. C2×C4×D172 | C2 | semidirect |
| 5. #14583115 | C2 | direct (N × H) |
| 6. C2×#13063250 | C2 | semidirect |
| 7. C2×#13063247 | C2 | semidirect |
| 8. C2×C4⋊C8×C43 | C2 | semidirect |
| 14. C2×#10621873 | C22 | semidirect |
| 18. #13063313 | C22 | semidirect |
| 20. C4×D172 | C22 | semidirect |
| 25. #13063250 | C22 | semidirect |
| 26. #13063247 | C22 | semidirect |
| 30. C4⋊C8×C43 | C22 | semidirect |
| 118. C2×C43 | #463 | semidirect |
| 129. C2×C4⋊C8 | D43 | semidirect |
| 132. C43 | C2×#463 | semidirect |
| 152. C4⋊C8 | C2×D43 | semidirect |
| 243. C2 | #14583115 | direct (N × H) |