Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
396 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 396 conjugacy classes of subgroups — too many to draw. Only its 87 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 |
|---|---|---|
| 2. #14582922 | C2 | semidirect |
| 3. C2×#13063242 | C2 | semidirect |
| 4. C2×#13063241 | C2 | semidirect |
| 5. C2×#13063241 | C2 | semidirect |
| 6. M16×Dic43 | C2 | semidirect |
| 7. C2×#100×C43 | C2 | semidirect |
| 48. M16×C43 | D4 | semidirect |
| 57. #10621877 | D4 | semidirect |
| 109. Dic43 | #100 | semidirect |
| 122. C2×#100 | D43 | semidirect |
| 124. C43 | #1965 | semidirect |
| 169. M16 | C22⋊D43 | semidirect |