Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
504 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 504 conjugacy classes of subgroups — too many to draw. Only its 123 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. C2×#13063347 | C2 | semidirect |
| 2. C2×#13063344 | C2 | semidirect |
| 3. #14583567 | C2 | semidirect |
| 4. #14583274 | C2 | semidirect |
| 5. #14583136 | C2 | semidirect |
| 6. #14583098 | C2 | semidirect |
| 7. #14583045 | C2 | semidirect |
| 8. #14583042 | C2 | semidirect |
| 9. #14582993 | C2 | semidirect |
| 10. C8×C22⋊D43 | C2 | semidirect |
| 11. C43×#466 | C2 | semidirect |
| 76. Dic172 | D4 | semidirect |
| 134. Dic43 | #135 | semidirect |
| 148. #466 | D43 | semidirect |
| 154. C43 | #3287 | semidirect |