Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
344 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 344 conjugacy classes of subgroups — too many to draw. Only its 101 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. #14582952 | C2 | semidirect |
| 2. #14582923 | C2 | semidirect |
| 3. #14582643 | C2 | semidirect |
| 7. C4⋊(C43⋊C8) | C22 | semidirect |
| 8. C4⋊(C43⋊C8) | C22 | semidirect |
| 89. C43 | #1545 | semidirect |