Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
598 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 598 conjugacy classes of subgroups — too many to draw. Only its 87 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×C22⋊C4×D43 | C2 | semidirect |
| 3. C2×#13063240 | C2 | semidirect |
| 4. #14582754 | C2 | semidirect |
| 5. #14582665 | C2 | semidirect |
| 6. #14582665 | C2 | semidirect |
| 7. C2×#99×C43 | C2 | semidirect |
| 9. C22×C22⋊D43 | C4 | semidirect |
| 19. C2×(C2×D43)⋊C4 | C4 | semidirect |
| 27. C24×C43 | C2×C4 | semidirect |
| 46. C22×C4×C43 | C2×C4 | semidirect |
| 52. C22×Dic43 | C2×C4 | semidirect |
| 58. C22⋊C4×C43 | D4 | semidirect |
| 64. C22⋊Dic43 | D4 | semidirect |
| 152. C2×D43 | #99 | semidirect |
| 174. C2×#99 | D43 | semidirect |
| 178. C43 | #1898 | semidirect |
| 207. C24 | C4×D43 | semidirect |
| 225. C22×C4 | C4×D43 | semidirect |
| 239. C22⋊C4 | C22⋊D43 | semidirect |