Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
402 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 402 conjugacy classes of subgroups — too many to draw. Only its 107 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 |
|---|---|---|
| 3. C2×#13063250 | C2 | semidirect |
| 4. #14582804 | C2 | semidirect |
| 5. #14582661 | C2 | semidirect |
| 6. #14582653 | C2 | semidirect |
| 12. C2×#10621883 | C4 | semidirect |
| 47. C2×Dic86 | C2×C4 | semidirect |
| 61. C2×C43⋊C8 | C2×C4 | semidirect |
| 95. C2×Dic43 | SD16 | semidirect |
| 141. C43 | #1877 | semidirect |