Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
326 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 326 conjugacy classes of subgroups — too many to draw. Only its 67 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. #14582939 | C2 | semidirect |
| 3. C2×#13063252 | C2 | semidirect |
| 4. C2×#13063241 | C2 | semidirect |
| 5. #14582800 | C2 | semidirect |
| 6. #14582660 | C2 | semidirect |
| 7. C43×#417 | C2 | semidirect |
| 62. #10621877 | D4 | semidirect |
| 134. #417 | D43 | semidirect |
| 138. C43 | #2037 | semidirect |