Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
374 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 374 conjugacy classes of subgroups — too many to draw. Only its 133 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. #14583606 | C2 | semidirect |
| 2. D4×Dic86 | C2 | semidirect |
| 3. #14583307 | C2 | semidirect |
| 4. #14583297 | C2 | semidirect |
| 5. #14583201 | C2 | semidirect |
| 6. #14583189 | C2 | semidirect |
| 7. #14583187 | C2 | semidirect |
| 8. #14583179 | C2 | semidirect |
| 9. #14583029 | C2 | semidirect |
| 52. D8×C43 | Q8 | semidirect |
| 78. D4×C43 | C2×Q8 | semidirect |
| 97. C8×C43 | C2×Q8 | semidirect |
| 133. C43 | #3384 | semidirect |
| 174. D8 | Dic86 | semidirect |
| 204. D4 | C2×Dic86 | semidirect |
| 220. C8 | C2×Dic86 | semidirect |