Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
1008 conjugacy classes of subgroups; only the 269 normal subgroups are shown.
This group has 1008 conjugacy classes of subgroups — too many to draw. Only its 269 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. C2×#13063284 | C2 | semidirect |
| 3. #14582905 | C2 | direct (N × H) |
| 4. C2×#13063247 | C2 | semidirect |
| 5. C22×M16×C43 | C2 | semidirect |
| 10. C22×D172 | C4 | semidirect |
| 14. #13063284 | C22 | semidirect |
| 15. C2×C4⋊Dic43 | C22 | semidirect |
| 18. #13063247 | C22 | semidirect |
| 21. C2×M16×C43 | C22 | semidirect |
| 22. C22×C8×C43 | C22 | semidirect |
| 42. C2×D172 | C2×C4 | semidirect |
| 46. C2×C8×C43 | C23 | semidirect |
| 49. C4⋊Dic43 | C23 | semidirect |
| 94. C2×C43 | #418 | semidirect |
| 99. C22×M16 | D43 | semidirect |
| 103. C43 | C2×#418 | semidirect |
| 113. C2×M16 | C2×D43 | semidirect |
| 114. C22×C8 | C2×D43 | semidirect |
| 144. C2×C8 | C22×D43 | semidirect |
| 192. C2 | #14582905 | direct (N × H) |