Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
424 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 424 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×#13063324 | C2 | semidirect |
| 3. #14583260 | C2 | semidirect |
| 4. #14583257 | C2 | semidirect |
| 5. #14583248 | C2 | semidirect |
| 6. #14583244 | C2 | semidirect |
| 7. #14582901 | C2 | semidirect |
| 8. #14582900 | C2 | semidirect |
| 9. #14582898 | C2 | semidirect |
| 10. M16×Dic43 | C2 | semidirect |
| 11. C43×#417 | C2 | semidirect |
| 159. #417 | D43 | semidirect |
| 161. C43 | #3141 | semidirect |