Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
620 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 620 conjugacy classes of subgroups — too many to draw. Only its 101 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×#13063252 | C2 | semidirect |
| 3. C2×#13063251 | C2 | semidirect |
| 4. #14582898 | C2 | semidirect |
| 5. C2×#13063241 | C2 | semidirect |
| 6. #14582800 | C2 | semidirect |
| 7. C43×#417 | C2 | semidirect |
| 11. #13063371 | C4 | semidirect |
| 19. C2×#10621877 | C22 | semidirect |
| 21. C2×C4×Dic43 | C22 | semidirect |
| 28. C2×M16×C43 | C22 | semidirect |
| 29. C2×C4⋊C4×C43 | C22 | semidirect |
| 95. Q8×C43 | C22⋊C4 | semidirect |
| 99. D4×C43 | C22⋊C4 | semidirect |
| 124. D172 | C22⋊C4 | semidirect |
| 129. Dic86 | C22⋊C4 | semidirect |
| 170. #417 | D43 | semidirect |
| 173. C43 | #1792 | semidirect |
| 187. C2×M16 | C2×D43 | semidirect |
| 188. C2×C4⋊C4 | C2×D43 | semidirect |
| 263. Q8 | (C2×D43)⋊C4 | semidirect |
| 277. D4 | (C2×D43)⋊C4 | semidirect |