Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
344 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 344 conjugacy classes of subgroups — too many to draw. Only its 97 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. C4⋊C8×D43 | C2 | semidirect |
| 3. C4×C8×D43 | C2 | semidirect |
| 4. #14582628 | C2 | semidirect |
| 5. D4⋊(C43⋊C8) | C2 | semidirect |
| 6. #14582626 | C2 | semidirect |
| 7. C43×D4⋊C8 | C2 | semidirect |
| 20. C4⋊(C43⋊C8) | C22 | semidirect |
| 22. C4×C43⋊C8 | C22 | semidirect |
| 25. C4⋊C8×C43 | C22 | semidirect |
| 26. C4×C8×C43 | C22 | semidirect |
| 33. D4×D43 | C8 | semidirect |
| 67. D4×C43 | C2×C8 | semidirect |
| 81. D172 | C2×C8 | semidirect |
| 122. D43 | D4⋊C8 | direct (N × H) |
| 129. D4⋊C8 | D43 | direct (N × H) |
| 130. C43 | C2×D4⋊C8 | semidirect |
| 146. C4⋊C8 | C2×D43 | semidirect |
| 149. C4×C8 | C2×D43 | semidirect |
| 193. D4 | C8×D43 | semidirect |