Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
280 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 280 conjugacy classes of subgroups — too many to draw. Only its 125 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 |
|---|---|---|
| 3. #14582629 | C2 | direct (N × H) |
| 27. C2×Dic86 | C8 | semidirect |
| 61. Dic86 | C2×C8 | semidirect |
| 79. C2×C43 | Q8⋊C8 | semidirect |
| 87. C43 | C2×Q8⋊C8 | semidirect |
| 161. C2 | #14582629 | direct (N × H) |