Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
384 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 384 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 |
|---|---|---|
| 5. #14583192 | C2 | semidirect |
| 6. #14583107 | C2 | semidirect |
| 8. Q16×Dic43 | C2 | semidirect |
| 9. #14582991 | C2 | semidirect |
| 98. C2×Dic43 | Q16 | semidirect |
| 139. C43 | #3104 | semidirect |