Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
224 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 224 conjugacy classes of subgroups — too many to draw. Only its 81 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×#13063261 | C2 | semidirect |
| 4. #14582855 | C2 | semidirect |
| 5. #14582658 | C2 | semidirect |
| 6. #14582653 | C2 | semidirect |
| 21. #103×C43 | C4 | semidirect |
| 22. #103×C43 | C4 | semidirect |
| 23. #102×C43 | C4 | semidirect |
| 24. #102×C43 | C4 | semidirect |
| 113. C43 | #1929 | semidirect |
| 123. #103 | Dic43 | semidirect |
| 124. #103 | Dic43 | semidirect |
| 125. #102 | Dic43 | semidirect |
| 126. #102 | Dic43 | semidirect |