Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
274 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 274 conjugacy classes of subgroups — too many to draw. Only its 87 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. #14582769 | C2 | semidirect |
| 4. #14582662 | C2 | semidirect |
| 5. C43×#336 | C2 | semidirect |
| 97. #336 | D43 | semidirect |
| 98. C43 | #2071 | semidirect |