Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
256 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 256 conjugacy classes of subgroups — too many to draw. Only its 89 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 |
|---|---|---|
| 2. #14582952 | C2 | semidirect |
| 3. #14582646 | C2 | semidirect |
| 4. #14582642 | C2 | semidirect |
| 5. C2×C4⋊C8×C43 | C2 | semidirect |
| 89. C2×C4⋊C8 | D43 | semidirect |
| 92. C43 | #1540 | semidirect |