Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
812 conjugacy classes of subgroups; only the 181 normal subgroups are shown.
This group has 812 conjugacy classes of subgroups — too many to draw. Only its 181 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 |
|---|---|---|
| 1. C22×#10621884 | C2 | semidirect |
| 2. C22×#10621882 | C2 | semidirect |
| 3. C2×#13063299 | C2 | semidirect |
| 4. #14583044 | C2 | direct (N × H) |
| 5. C2×#13063249 | C2 | semidirect |
| 6. C2×#13063246 | C2 | semidirect |
| 7. C2×C22⋊(C43⋊C8) | C2 | semidirect |
| 8. C22×#41×C43 | C2 | semidirect |
| 12. C2×#10621884 | C22 | semidirect |
| 14. C2×#10621882 | C22 | semidirect |
| 18. #13063299 | C22 | semidirect |
| 21. #13063249 | C22 | semidirect |
| 22. #13063246 | C22 | semidirect |
| 23. C22⋊(C43⋊C8) | C22 | semidirect |
| 27. C2×#41×C43 | C22 | semidirect |
| 41. C2×Q8×C43 | D4 | semidirect |
| 47. C2×D4×C43 | D4 | semidirect |
| 89. Q8×C43 | C2×D4 | semidirect |
| 93. D4×C43 | C2×D4 | semidirect |
| 139. C2×C43 | #449 | semidirect |
| 144. C22×#41 | D43 | semidirect |
| 152. C43 | C2×#449 | semidirect |
| 156. C2×#41 | C2×D43 | semidirect |
| 185. C2×Q8 | C22⋊D43 | semidirect |
| 197. C2×D4 | C22⋊D43 | semidirect |
| 233. Q8 | C2×C22⋊D43 | semidirect |
| 241. D4 | C2×C22⋊D43 | semidirect |
| 283. C2 | #14583044 | direct (N × H) |