Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
446 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 446 conjugacy classes of subgroups — too many to draw. Only its 119 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. #14583444 | C2 | semidirect |
| 2. #14583296 | C2 | semidirect |
| 3. #14583274 | C2 | semidirect |
| 4. #14583244 | C2 | semidirect |
| 5. #14583152 | C2 | semidirect |
| 6. #14583150 | C2 | semidirect |
| 7. #14583011 | C2 | semidirect |
| 8. #14583010 | C2 | semidirect |
| 9. #14583008 | C2 | semidirect |
| 10. M16×Dic43 | C2 | semidirect |
| 11. C43×#469 | C2 | semidirect |
| 94. C8×C43 | #41 | semidirect |
| 96. C43⋊C8 | #41 | semidirect |
| 125. #469 | D43 | semidirect |
| 130. C43 | #3184 | semidirect |
| 215. C8 | #10621900 | semidirect |