Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
512 conjugacy classes of subgroups; only the 229 normal subgroups are shown.
This group has 512 conjugacy classes of subgroups — too many to draw. Only its 229 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 |
|---|---|---|
| 3. #14582934 | C2 | direct (N × H) |
| 4. C2×#13063258 | C2 | semidirect |
| 5. C2×#13063257 | C2 | semidirect |
| 6. C2×#106×C43 | C2 | semidirect |
| 9. C2×C8×D43 | C4 | semidirect |
| 16. #13063258 | C22 | semidirect |
| 17. #13063257 | C22 | semidirect |
| 20. #106×C43 | C22 | semidirect |
| 40. C8×D43 | C2×C4 | semidirect |
| 73. C2×C43 | #427 | semidirect |
| 82. C2×#106 | D43 | semidirect |
| 83. C43 | C2×#427 | semidirect |
| 97. #106 | C2×D43 | semidirect |
| 150. C2 | #14582934 | direct (N × H) |