Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
244 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 244 conjugacy classes of subgroups — too many to draw. Only its 83 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. #13063316 | C4 | semidirect |
| 33. C42×C43 | Q8 | semidirect |
| 44. C4×Dic43 | Q8 | semidirect |
| 93. C43 | #1995 | semidirect |
| 133. C42 | Dic86 | semidirect |