Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
552 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 552 conjugacy classes of subgroups — too many to draw. Only its 125 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. C2×#13063252 | C2 | semidirect |
| 2. #14582900 | C2 | semidirect |
| 3. C2×#13063244 | C2 | semidirect |
| 4. #14582806 | C2 | semidirect |
| 16. 2−1+4×C43 | C4 | semidirect |
| 107. C43 | #1793 | semidirect |
| 110. 2−1+4 | Dic43 | semidirect |