Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
216 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 216 conjugacy classes of subgroups — too many to draw. Only its 69 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. #14582956 | C2 | semidirect |
| 3. #14582640 | C2 | semidirect |
| 4. #14582638 | C2 | semidirect |
| 5. C4×M16×C43 | C2 | semidirect |
| 93. C4×M16 | D43 | semidirect |
| 96. C43 | #1529 | semidirect |