Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
380 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 380 conjugacy classes of subgroups — too many to draw. Only its 129 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. #14583181 | C2 | semidirect |
| 4. #14583106 | C2 | semidirect |
| 6. #14583004 | C2 | semidirect |
| 112. C43 | #3113 | semidirect |