Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
142 conjugacy classes of subgroups; only the 55 normal subgroups are shown.
This group has 142 conjugacy classes of subgroups — too many to draw. Only its 55 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. #14582726 | C2 | semidirect |
| 3. C4⋊(C43⋊C16) | C2 | semidirect |
| 5. C43×#500 | C2 | semidirect |
| 26. D344 | Q8 | semidirect |
| 56. #500 | D43 | semidirect |
| 61. C43 | #2226 | semidirect |