Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
386 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 386 conjugacy classes of subgroups — too many to draw. Only its 115 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. #14583502 | C2 | semidirect |
| 2. #14583300 | C2 | semidirect |
| 3. #14583274 | C2 | semidirect |
| 4. #14583262 | C2 | semidirect |
| 5. #14583150 | C2 | semidirect |
| 6. #14583135 | C2 | semidirect |
| 7. #14583008 | C2 | semidirect |
| 8. D8×Dic43 | C2 | semidirect |
| 9. #14582981 | C2 | semidirect |
| 10. #14582854 | C2 | semidirect |
| 11. C43×#466 | C2 | semidirect |
| 130. #466 | D43 | semidirect |
| 135. C43 | #3176 | semidirect |