Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
492 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 492 conjugacy classes of subgroups — too many to draw. Only its 141 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×#13063331 | C2 | semidirect |
| 2. #14583473 | C2 | semidirect |
| 4. #14583142 | C2 | semidirect |
| 5. #14583125 | C2 | semidirect |
| 6. #14582937 | C2 | semidirect |
| 7. #14582908 | C2 | semidirect |
| 8. #14582904 | C2 | semidirect |
| 9. C22×SD16×C43 | C2 | semidirect |
| 13. C2×#10621872 | C22 | semidirect |
| 14. C2×C8×D43 | C22 | semidirect |
| 20. #13063301 | C22 | semidirect |
| 25. #13063259 | C22 | semidirect |
| 26. #13063257 | C22 | semidirect |
| 27. #13063249 | C22 | semidirect |
| 55. C2×C8×C43 | D4 | semidirect |
| 121. C22×SD16 | D43 | semidirect |
| 130. C43 | #3057 | semidirect |
| 180. C2×C8 | C22⋊D43 | semidirect |