Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
362 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 79 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. #14583373 | C2 | semidirect |
| 3. #14582917 | C2 | semidirect |
| 4. #14582915 | C2 | semidirect |
| 5. C2×#13063241 | C2 | semidirect |
| 6. #14582655 | C2 | semidirect |
| 7. C43×H(3,ℤ/4) | C2 | semidirect |
| 11. #13063322 | C4 | semidirect |
| 12. #13063313 | C4 | semidirect |
| 38. C2×D172 | C2×C4 | semidirect |
| 42. C2×Dic86 | C2×C4 | semidirect |
| 50. C42×C43 | C2×C4 | semidirect |
| 51. C42×C43 | D4 | semidirect |
| 56. C4×Dic43 | D4 | semidirect |
| 123. H(3,ℤ/4) | D43 | semidirect |
| 124. C43 | #1911 | semidirect |
| 175. C42 | C4×D43 | semidirect |
| 176. C42 | D172 | semidirect |