Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
504 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 504 conjugacy classes of subgroups — too many to draw. Only its 133 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×#13063345 | C2 | semidirect |
| 2. #14583570 | C2 | semidirect |
| 3. #14583275 | C2 | semidirect |
| 4. #14583133 | C2 | semidirect |
| 5. #14583099 | C2 | semidirect |
| 6. #14583096 | C2 | semidirect |
| 7. #14583044 | C2 | semidirect |
| 8. #14583042 | C2 | semidirect |
| 9. C4×#10621885 | C2 | semidirect |
| 10. D4×C43⋊C8 | C2 | semidirect |
| 11. C43×#550 | C2 | semidirect |
| 69. #10621885 | D4 | semidirect |
| 131. C4×C43 | #135 | semidirect |
| 145. #550 | D43 | semidirect |
| 154. C43 | #3287 | semidirect |
| 276. C4 | #13063345 | semidirect |