Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
430 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 430 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 |
|---|---|---|
| 1. C4×#10621898 | C2 | semidirect |
| 2. #14583220 | C2 | semidirect |
| 3. #14583181 | C2 | semidirect |
| 4. #14583176 | C2 | semidirect |
| 5. #14583096 | C2 | semidirect |
| 6. #14583091 | C2 | semidirect |
| 7. #14583042 | C2 | semidirect |
| 8. #14583009 | C2 | semidirect |
| 9. #14582999 | C2 | semidirect |
| 10. #14582956 | C2 | semidirect |
| 11. C43×#532 | C2 | semidirect |
| 109. D172 | #41 | semidirect |
| 114. Dic86 | #41 | semidirect |
| 145. #532 | D43 | semidirect |
| 156. C43 | #3115 | semidirect |