Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
398 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 398 conjugacy classes of subgroups — too many to draw. Only its 125 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. #14583433 | C2 | semidirect |
| 2. #14583199 | C2 | semidirect |
| 3. #14583191 | C2 | semidirect |
| 4. #14583186 | C2 | semidirect |
| 5. #14583133 | C2 | semidirect |
| 6. #14583126 | C2 | semidirect |
| 7. #14583114 | C2 | semidirect |
| 8. #14583096 | C2 | semidirect |
| 9. #14583091 | C2 | semidirect |
| 10. C2×C4⋊(C43⋊C8) | C2 | semidirect |
| 11. C43×#532 | C2 | semidirect |
| 142. #532 | D43 | semidirect |
| 153. C43 | #3247 | semidirect |