Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
412 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 412 conjugacy classes of subgroups — too many to draw. Only its 99 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. C22×#10621872 | C2 | semidirect |
| 3. C2×#13063247 | C2 | semidirect |
| 4. C2×#13063245 | C2 | semidirect |
| 5. #14582756 | C2 | semidirect |
| 6. #14582661 | C2 | semidirect |
| 7. C43×#340 | C2 | semidirect |
| 16. #13063300 | C4 | semidirect |
| 50. C2×C8×C43 | D4 | semidirect |
| 61. C2×C43⋊C8 | D4 | semidirect |
| 152. #340 | D43 | semidirect |
| 153. C43 | #1895 | semidirect |
| 200. C2×C8 | D172 | semidirect |