Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
360 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 360 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 |
|---|---|---|
| 1. C2×#13063258 | C2 | semidirect |
| 4. #14582661 | C2 | semidirect |
| 11. C22⋊(C43⋊C8) | C4 | semidirect |
| 39. C2×C43⋊C8 | C2×C4 | semidirect |
| 74. C22×C43 | #107 | semidirect |
| 102. C43 | #1852 | semidirect |
| 171. C22 | #13063258 | semidirect |