Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
418 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 418 conjugacy classes of subgroups — too many to draw. Only its 125 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. #14583380 | C2 | semidirect |
| 3. #14583222 | C2 | semidirect |
| 4. #14583221 | C2 | semidirect |
| 5. #14583216 | C2 | semidirect |
| 6. #14583211 | C2 | semidirect |
| 7. #14582939 | C2 | semidirect |
| 8. #14582937 | C2 | semidirect |
| 9. #14582904 | C2 | semidirect |
| 10. #14582865 | C2 | semidirect |
| 11. C2×#102×C43 | C2 | semidirect |
| 24. #13063283 | C22 | semidirect |
| 25. C4⋊C4×D43 | C22 | semidirect |
| 26. #13063259 | C22 | semidirect |
| 27. #13063259 | C22 | semidirect |
| 28. #13063258 | C22 | semidirect |
| 29. #13063257 | C22 | semidirect |
| 30. #13063257 | C22 | semidirect |
| 31. #13063256 | C22 | semidirect |
| 34. (C2×D43)⋊C8 | C22 | semidirect |
| 35. (C2×D43)⋊C8 | C22 | semidirect |
| 144. C2×#102 | D43 | semidirect |
| 146. C43 | #3096 | semidirect |