Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
312 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 312 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 |
|---|---|---|
| 3. #14582909 | C2 | semidirect |
| 4. #14582907 | C2 | semidirect |
| 6. #14582655 | C2 | semidirect |
| 7. C43×H(3,ℤ/4) | C2 | semidirect |
| 14. #13063325 | C4 | semidirect |
| 15. #13063313 | C4 | semidirect |
| 116. H(3,ℤ/4) | D43 | semidirect |
| 117. C43 | #1909 | semidirect |