Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
436 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 436 conjugacy classes of subgroups — too many to draw. Only its 121 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 |
|---|---|---|
| 1. #14583444 | C2 | semidirect |
| 2. #14583178 | C2 | semidirect |
| 3. #14583177 | C2 | semidirect |
| 4. #14583135 | C2 | semidirect |
| 5. #14583133 | C2 | semidirect |
| 6. #14583093 | C2 | semidirect |
| 7. #14583092 | C2 | semidirect |
| 8. C2×Dic43⋊C8 | C2 | semidirect |
| 9. C43×#466 | C2 | semidirect |
| 82. C2×Dic43 | D8 | semidirect |
| 121. #466 | D43 | semidirect |
| 125. C43 | #3245 | semidirect |