Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
348 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 348 conjugacy classes of subgroups — too many to draw. Only its 129 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. #14583608 | C2 | semidirect |
| 2. #14583307 | C2 | semidirect |
| 3. #14583301 | C2 | semidirect |
| 4. #14583199 | C2 | semidirect |
| 5. #14583197 | C2 | semidirect |
| 6. #14583177 | C2 | semidirect |
| 7. #14583029 | C2 | semidirect |
| 41. D8×C43 | Q8 | semidirect |
| 106. C43 | #3389 | semidirect |
| 138. D8 | Dic86 | semidirect |