Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
618 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 618 conjugacy classes of subgroups — too many to draw. Only its 105 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×#13063253 | C2 | semidirect |
| 3. #14582863 | C2 | semidirect |
| 4. C4×C22⋊C4×C43 | C2 | semidirect |
| 8. C2×#10621898 | C4 | semidirect |
| 10. C22×Dic86 | C4 | semidirect |
| 11. C22×D172 | C4 | semidirect |
| 14. C2×#10621877 | C22 | semidirect |
| 20. C2×C42×C43 | C22 | semidirect |
| 84. D172 | C22⋊C4 | semidirect |
| 89. Dic86 | C22⋊C4 | semidirect |
| 99. C22×C43 | #104 | semidirect |
| 123. C4×C22⋊C4 | D43 | semidirect |
| 124. C43 | #1789 | semidirect |
| 137. C2×C42 | C2×D43 | semidirect |
| 223. C22 | #13063253 | semidirect |