Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
292 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 292 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×#13063260 | C2 | semidirect |
| 3. C2×#13063253 | C2 | semidirect |
| 4. #14582867 | C2 | semidirect |
| 5. #14582866 | C2 | semidirect |
| 6. C2×#13063236 | C2 | semidirect |
| 7. C2×#104×C43 | C2 | semidirect |
| 11. C2×#10621885 | C4 | semidirect |
| 12. C2×#10621883 | C4 | semidirect |
| 13. C2×#10621884 | C4 | semidirect |
| 14. C2×#10621882 | C4 | semidirect |
| 123. C2×#104 | D43 | semidirect |
| 127. C43 | #1975 | semidirect |