Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
252 conjugacy classes of subgroups; only the 77 normal subgroups are shown.
This group has 252 conjugacy classes of subgroups — too many to draw. Only its 77 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. C2×C4⋊(C43⋊C8) | C2 | semidirect |
| 3. #14582647 | C2 | semidirect |
| 4. #14582642 | C2 | semidirect |
| 5. C43×#432 | C2 | semidirect |
| 86. #432 | D43 | semidirect |
| 90. C43 | #1551 | semidirect |