Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
390 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 390 conjugacy classes of subgroups — too many to draw. Only its 101 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 |
|---|---|---|
| 1. C22×#10621877 | C2 | semidirect |
| 2. C2×#13063242 | C2 | semidirect |
| 3. #14582863 | C2 | semidirect |
| 4. #14582668 | C2 | semidirect |
| 49. #10621877 | D4 | semidirect |
| 97. C22×C43 | #100 | semidirect |
| 119. C43 | #1900 | semidirect |
| 211. C22 | #13063242 | semidirect |