Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
152 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 152 conjugacy classes of subgroups — too many to draw. Only its 67 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. #14582723 | C2 | semidirect |
| 5. #14582722 | C2 | semidirect |
| 6. #14582721 | C2 | semidirect |
| 7. C43×#365 | C2 | semidirect |
| 12. #13063264 | C4 | semidirect |
| 13. C16×D43 | C4 | semidirect |
| 36. C16×C43 | C2×C4 | semidirect |
| 37. C43⋊C16 | C2×C4 | semidirect |
| 68. D43 | #365 | direct (N × H) |
| 75. #365 | D43 | direct (N × H) |
| 76. C43 | C2×#365 | semidirect |
| 106. C16 | C4×D43 | semidirect |