Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
368 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 368 conjugacy classes of subgroups — too many to draw. Only its 129 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 |
|---|---|---|
| 2. #14583303 | C2 | semidirect |
| 3. #14583277 | C2 | semidirect |
| 4. #14583248 | C2 | semidirect |
| 7. Q16×Dic43 | C2 | semidirect |
| 8. #14582993 | C2 | semidirect |
| 9. #14582991 | C2 | semidirect |
| 83. C2×Dic43 | Q16 | semidirect |
| 126. C43 | #3170 | semidirect |