Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
404 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 404 conjugacy classes of subgroups — too many to draw. Only its 137 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. #14582660 | C2 | semidirect |
| 5. #14582659 | C2 | semidirect |
| 6. #14582658 | C2 | semidirect |
| 7. C43×#339 | C2 | semidirect |
| 12. M16×D43 | C4 | semidirect |
| 15. #13063283 | C4 | semidirect |
| 18. #13063282 | C4 | semidirect |
| 21. C4⋊C4×D43 | C4 | semidirect |
| 44. M16×C43 | C2×C4 | semidirect |
| 50. C42×C43 | C2×C4 | semidirect |
| 60. C4×Dic43 | C2×C4 | semidirect |
| 62. #10621877 | C2×C4 | semidirect |
| 132. #339 | D43 | semidirect |
| 133. C43 | #1733 | semidirect |
| 173. M16 | C4×D43 | semidirect |
| 191. C42 | C4×D43 | semidirect |