Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
342 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 342 conjugacy classes of subgroups — too many to draw. Only its 113 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 |
|---|---|---|
| 2. #14583183 | C2 | semidirect |
| 3. #14583182 | C2 | semidirect |
| 6. #14583108 | C2 | semidirect |
| 7. #14583107 | C2 | semidirect |
| 109. C43 | #3255 | semidirect |