Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
370 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 370 conjugacy classes of subgroups — too many to draw. Only its 115 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. #14583430 | C2 | semidirect |
| 2. #14583299 | C2 | semidirect |
| 3. #14583282 | C2 | semidirect |
| 4. #14583252 | C2 | semidirect |
| 5. #14583157 | C2 | semidirect |
| 6. #14583143 | C2 | semidirect |
| 7. #14583011 | C2 | semidirect |
| 8. #14583005 | C2 | semidirect |
| 9. #14582996 | C2 | semidirect |
| 10. M16×Dic43 | C2 | semidirect |
| 121. C43 | #3183 | semidirect |