Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
552 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 552 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 |
|---|---|---|
| 2. C2×#13063252 | C2 | semidirect |
| 3. C2×#13063251 | C2 | semidirect |
| 4. #14582898 | C2 | semidirect |
| 5. C2×#13063243 | C2 | semidirect |
| 6. #14582804 | C2 | semidirect |
| 7. C43×#417 | C2 | semidirect |
| 11. #13063372 | C4 | semidirect |
| 159. #417 | D43 | semidirect |
| 162. C43 | #1793 | semidirect |