Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
420 conjugacy classes of subgroups; only the 139 normal subgroups are shown.
This group has 420 conjugacy classes of subgroups — too many to draw. Only its 139 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. D4×Dic86 | C2 | semidirect |
| 2. #14583251 | C2 | semidirect |
| 3. #14583229 | C2 | semidirect |
| 4. #14583181 | C2 | semidirect |
| 5. #14583126 | C2 | semidirect |
| 6. #14583104 | C2 | semidirect |
| 7. #14583037 | C2 | semidirect |
| 8. C4×#10621883 | C2 | semidirect |
| 9. D4×C43⋊C8 | C2 | semidirect |
| 10. C2×#13063248 | C2 | semidirect |
| 83. D4×C43 | SD16 | semidirect |
| 102. Dic86 | #41 | semidirect |
| 140. C43 | #3298 | semidirect |
| 217. D4 | #10621883 | semidirect |