Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
256 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 256 conjugacy classes of subgroups — too many to draw. Only its 101 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 |
|---|---|---|
| 21. #103×C43 | C4 | semidirect |
| 113. C43 | #1933 | semidirect |
| 123. #103 | Dic43 | semidirect |