Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
324 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 324 conjugacy classes of subgroups — too many to draw. Only its 83 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×#13063333 | C2 | semidirect |
| 3. C2×#13063251 | C2 | semidirect |
| 4. C2×#13063251 | C2 | semidirect |
| 5. #14582867 | C2 | semidirect |
| 6. #14582653 | C2 | semidirect |
| 7. C43×#341 | C2 | semidirect |
| 12. C2×Dic172 | C4 | semidirect |
| 13. C2×#10621873 | C4 | semidirect |
| 14. C2×#10621873 | C4 | semidirect |
| 15. C2×D344 | C4 | semidirect |
| 136. #341 | D43 | semidirect |
| 138. C43 | #1876 | semidirect |