Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
394 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 394 conjugacy classes of subgroups — too many to draw. Only its 71 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. #14583699 | C2 | semidirect |
| 2. #14583411 | C2 | semidirect |
| 3. #14582917 | C2 | semidirect |
| 4. #14582862 | C2 | semidirect |
| 5. C43×H(3,ℤ/4) | C2 | semidirect |
| 30. C2×D172 | D4 | semidirect |
| 36. C2×Dic86 | D4 | semidirect |
| 38. C2×C8×C43 | D4 | semidirect |
| 41. C42×C43 | D4 | semidirect |
| 103. H(3,ℤ/4) | D43 | semidirect |
| 104. C43 | #2010 | semidirect |
| 142. C2×C8 | D172 | semidirect |
| 148. C42 | D172 | semidirect |