Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
442 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 442 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×#13063253 | C2 | semidirect |
| 3. #14582863 | C2 | semidirect |
| 4. #14582659 | C2 | semidirect |
| 5. C22×C42×C43 | C2 | semidirect |
| 9. #13063304 | C4 | semidirect |
| 10. #13063299 | C4 | semidirect |
| 35. C2×D172 | C2×C4 | semidirect |
| 37. C2×Dic86 | C2×C4 | semidirect |
| 40. C42×C43 | D4 | semidirect |
| 44. C4⋊Dic43 | C2×C4 | semidirect |
| 82. C22×C43 | #104 | semidirect |
| 102. C22×C42 | D43 | semidirect |
| 106. C43 | #1896 | semidirect |
| 150. C42 | C22⋊D43 | semidirect |
| 185. C22 | #13063253 | semidirect |