Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
260 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 260 conjugacy classes of subgroups — too many to draw. Only its 85 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 |
|---|---|---|
| 9. #13063324 | C4 | semidirect |
| 10. #13063324 | C4 | semidirect |
| 11. #13063316 | C4 | semidirect |
| 12. #13063316 | C4 | semidirect |
| 35. M16×C43 | Q8 | semidirect |
| 61. #10621877 | Q8 | semidirect |
| 122. C43 | #1986 | semidirect |
| 152. M16 | Dic86 | semidirect |