Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
512 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 512 conjugacy classes of subgroups — too many to draw. Only its 149 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×C4⋊C4×D43 | C2 | semidirect |
| 3. #14583211 | C2 | direct (N × H) |
| 4. C2×#13063259 | C2 | semidirect |
| 5. C2×#13063258 | C2 | semidirect |
| 6. C2×#13063246 | C2 | semidirect |
| 7. C2×(C2×D43)⋊C8 | C2 | semidirect |
| 8. C2×#102×C43 | C2 | semidirect |
| 19. C4⋊C4×D43 | C22 | semidirect |
| 21. #13063259 | C22 | semidirect |
| 22. #13063258 | C22 | semidirect |
| 23. #13063246 | C22 | semidirect |
| 24. (C2×D43)⋊C8 | C22 | semidirect |
| 28. #102×C43 | C22 | semidirect |
| 112. C2×C43 | #480 | semidirect |
| 123. C2×#102 | D43 | semidirect |
| 125. C43 | C2×#480 | semidirect |
| 144. #102 | C2×D43 | semidirect |
| 229. C2 | #14583211 | direct (N × H) |