Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
380 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 380 conjugacy classes of subgroups — too many to draw. Only its 97 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. #14582759 | C2 | semidirect |
| 4. #14582665 | C2 | semidirect |
| 5. C43×#380 | C2 | semidirect |
| 7. C22×C4×D43 | C4 | semidirect |
| 13. C2×Dic43⋊C4 | C4 | semidirect |
| 16. C2×(C2×D43)⋊C4 | C4 | semidirect |
| 17. C2×C4×Dic43 | C4 | semidirect |
| 74. C22×D43 | C4⋊C4 | semidirect |
| 101. C2×Dic43 | C4⋊C4 | semidirect |
| 130. C4×C43 | #99 | semidirect |
| 149. #380 | D43 | semidirect |
| 151. C43 | #1799 | semidirect |
| 280. C4 | #13063239 | semidirect |