Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
324 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 324 conjugacy classes of subgroups — too many to draw. Only its 83 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. #14582939 | C2 | semidirect |
| 5. #14582660 | C2 | semidirect |
| 6. #14582658 | C2 | semidirect |
| 7. C43×#428 | C2 | semidirect |
| 20. #13063241 | C4 | semidirect |
| 39. M16×C43 | C2×C4 | semidirect |
| 57. #10621877 | C2×C4 | semidirect |
| 117. #428 | D43 | semidirect |
| 122. C43 | #1856 | semidirect |
| 156. M16 | C4×D43 | semidirect |