Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
284 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 284 conjugacy classes of subgroups — too many to draw. Only its 89 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 |
|---|---|---|
| 3. C2×#13063235 | C2 | semidirect |
| 5. #14582795 | C2 | semidirect |
| 6. #14582661 | C2 | semidirect |
| 7. C43×#340 | C2 | semidirect |
| 15. #13063247 | C4 | semidirect |
| 125. #340 | D43 | semidirect |
| 126. C43 | #1936 | semidirect |