Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
792 conjugacy classes of subgroups; only the 269 normal subgroups are shown.
This group has 792 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. #14582896 | C2 | direct (N × H) |
| 4. C2×#13063250 | C2 | semidirect |
| 5. C2×#13063247 | C2 | semidirect |
| 6. C23×C8×C43 | C2 | semidirect |
| 9. C2×#10621898 | C4 | semidirect |
| 16. #13063284 | C22 | semidirect |
| 20. #13063250 | C22 | semidirect |
| 21. #13063247 | C22 | semidirect |
| 25. C22×C8×C43 | C22 | semidirect |
| 40. #10621898 | C2×C4 | semidirect |
| 104. C2×C43 | #416 | semidirect |
| 109. C23×C8 | D43 | semidirect |
| 114. C43 | C2×#416 | semidirect |
| 126. C22×C8 | C2×D43 | semidirect |
| 212. C2 | #14582896 | direct (N × H) |