Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
282 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 282 conjugacy classes of subgroups — too many to draw. Only its 67 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. #14583527 | C2 | semidirect |
| 5. #14582667 | C2 | semidirect |
| 6. #14582659 | C2 | semidirect |
| 7. C43×#339 | C2 | semidirect |
| 34. C2×D172 | Q8 | semidirect |
| 119. #339 | D43 | semidirect |
| 120. C43 | #2027 | semidirect |