Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
412 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 412 conjugacy classes of subgroups — too many to draw. Only its 119 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 |
|---|---|---|
| 3. C22⋊C4×Dic43 | C2 | semidirect |
| 4. #14582665 | C2 | semidirect |
| 6. C23×Dic43 | C4 | semidirect |
| 10. C2×C4⋊Dic43 | C4 | semidirect |
| 11. C2×C22⋊Dic43 | C4 | semidirect |
| 15. C2×C4×Dic43 | C4 | semidirect |
| 16. #13063240 | C4 | semidirect |
| 20. #99×C43 | C4 | semidirect |
| 41. C22⋊C4×C43 | C2×C4 | semidirect |
| 45. C22⋊Dic43 | C2×C4 | semidirect |
| 56. C23×C43 | C42 | semidirect |
| 69. C2×C4×C43 | C42 | semidirect |
| 110. Dic43 | #99 | direct (N × H) |
| 125. C43 | C4×#99 | semidirect |
| 139. #99 | Dic43 | direct (N × H) |
| 166. C22⋊C4 | C2×Dic43 | semidirect |
| 176. C23 | C4×Dic43 | semidirect |
| 205. C2×C4 | C4×Dic43 | semidirect |