Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
816 conjugacy classes of subgroups; only the 229 normal subgroups are shown.
This group has 816 conjugacy classes of subgroups — too many to draw. Only its 229 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. C22×#10621872 | C2 | semidirect |
| 3. C2×C4⋊C4×D43 | C2 | semidirect |
| 4. #14582899 | C2 | direct (N × H) |
| 5. C2×#13063249 | C2 | semidirect |
| 6. C2×#13063247 | C2 | semidirect |
| 7. C2×#13063245 | C2 | semidirect |
| 8. C2×#103×C43 | C2 | semidirect |
| 11. C2×#10621902 | C4 | semidirect |
| 19. C2×#10621872 | C22 | semidirect |
| 24. C4⋊C4×D43 | C22 | semidirect |
| 25. #13063249 | C22 | semidirect |
| 26. #13063247 | C22 | semidirect |
| 27. #13063245 | C22 | semidirect |
| 31. #103×C43 | C22 | semidirect |
| 36. C2×Q8×C43 | C2×C4 | semidirect |
| 45. #10621902 | C2×C4 | semidirect |
| 50. C2×D172 | C2×C4 | semidirect |
| 81. Q8×C43 | C22×C4 | semidirect |
| 97. D172 | C22×C4 | semidirect |
| 125. C2×C43 | #417 | semidirect |
| 136. C2×#103 | D43 | semidirect |
| 139. C43 | C2×#417 | semidirect |
| 160. #103 | C2×D43 | semidirect |
| 170. C2×Q8 | C4×D43 | semidirect |
| 212. Q8 | C2×C4×D43 | semidirect |
| 257. C2 | #14582899 | direct (N × H) |