Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
390 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 390 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. C2×C4×Dic86 | C2 | semidirect |
| 3. #14583230 | C2 | semidirect |
| 5. #14583207 | C2 | semidirect |
| 6. #14583122 | C2 | semidirect |
| 7. #14583057 | C2 | semidirect |
| 9. C4×Dic172 | C2 | semidirect |
| 10. C4×#10621873 | C2 | semidirect |
| 11. C43×#431 | C2 | semidirect |
| 142. #431 | D43 | semidirect |
| 143. C43 | #3108 | semidirect |