Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
460 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 460 conjugacy classes of subgroups — too many to draw. Only its 149 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 |
|---|---|---|
| 3. #14583231 | C2 | direct (N × H) |
| 4. C2×#13063256 | C2 | semidirect |
| 5. C2×#13063250 | C2 | semidirect |
| 6. C2×#13063248 | C2 | semidirect |
| 8. C2×#106×C43 | C2 | semidirect |
| 21. #13063256 | C22 | semidirect |
| 22. #13063250 | C22 | semidirect |
| 23. #13063248 | C22 | semidirect |
| 28. #106×C43 | C22 | semidirect |
| 104. C2×C43 | #483 | semidirect |
| 113. C2×#106 | D43 | semidirect |
| 117. C43 | C2×#483 | semidirect |
| 134. #106 | C2×D43 | semidirect |
| 213. C2 | #14583231 | direct (N × H) |