Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
812 conjugacy classes of subgroups; only the 165 normal subgroups are shown.
This group has 812 conjugacy classes of subgroups — too many to draw. Only its 165 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×#10621900 | C2 | semidirect |
| 2. C22×#10621873 | C2 | semidirect |
| 3. C22×#10621882 | C2 | semidirect |
| 4. C2×#13063300 | C2 | semidirect |
| 5. #14583045 | C2 | direct (N × H) |
| 6. C2×#13063248 | C2 | semidirect |
| 7. C2×(C2×D43)⋊C8 | C2 | semidirect |
| 8. C2×#102×C43 | C2 | semidirect |
| 12. C2×#10621900 | C22 | semidirect |
| 20. C2×#10621873 | C22 | semidirect |
| 22. C2×#10621882 | C22 | semidirect |
| 25. #13063300 | C22 | semidirect |
| 27. #13063248 | C22 | semidirect |
| 28. (C2×D43)⋊C8 | C22 | semidirect |
| 32. #102×C43 | C22 | semidirect |
| 38. C2×D4×C43 | D4 | semidirect |
| 63. C2×Dic86 | D4 | semidirect |
| 89. D4×C43 | C2×D4 | semidirect |
| 111. Dic86 | C2×D4 | semidirect |
| 138. C2×C43 | #449 | semidirect |
| 150. C2×#102 | D43 | semidirect |
| 152. C43 | C2×#449 | semidirect |
| 175. #102 | C2×D43 | semidirect |
| 197. C2×D4 | D172 | semidirect |
| 241. D4 | C2×D172 | semidirect |
| 283. C2 | #14583045 | direct (N × H) |