Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
338 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 338 conjugacy classes of subgroups — too many to draw. Only its 115 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. #14583300 | C2 | semidirect |
| 3. #14583277 | C2 | semidirect |
| 4. #14583266 | C2 | semidirect |
| 8. #14583004 | C2 | semidirect |
| 9. C4×Dic172 | C2 | semidirect |
| 11. C4×Q16×C43 | C2 | semidirect |
| 121. C4×Q16 | D43 | semidirect |
| 123. C43 | #3177 | semidirect |