Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
228 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 228 conjugacy classes of subgroups — too many to draw. Only its 81 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 |
|---|---|---|
| 8. C22⋊(C43⋊C8) | C4 | semidirect |
| 11. C22×C8×C43 | C4 | semidirect |
| 26. C22⋊Dic43 | C8 | semidirect |
| 81. C43 | #1282 | semidirect |
| 84. C22×C8 | Dic43 | semidirect |