Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
390 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 390 conjugacy classes of subgroups — too many to draw. Only its 85 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×M16×D43 | C2 | semidirect |
| 3. C2×#13063241 | C2 | semidirect |
| 4. C2×#13063241 | C2 | semidirect |
| 5. #14582862 | C2 | semidirect |
| 6. #14582668 | C2 | semidirect |
| 7. C43×#343 | C2 | semidirect |
| 54. M16×C43 | D4 | semidirect |
| 64. #10621877 | D4 | semidirect |
| 128. C2×D43 | #100 | semidirect |
| 151. #343 | D43 | semidirect |
| 152. C43 | #1900 | semidirect |
| 204. M16 | D172 | semidirect |