Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
156 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 156 conjugacy classes of subgroups — too many to draw. Only its 69 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 |
|---|---|---|
| 4. #14582726 | C2 | semidirect |
| 5. #14582725 | C2 | semidirect |
| 6. #14582724 | C2 | semidirect |
| 7. C43×#367 | C2 | semidirect |
| 11. #13063264 | C4 | semidirect |
| 33. C16×C43 | C2×C4 | semidirect |
| 34. C43⋊C16 | C2×C4 | semidirect |
| 68. #367 | D43 | semidirect |
| 71. C43 | #2159 | semidirect |
| 98. C16 | C4×D43 | semidirect |