Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
206 conjugacy classes of subgroups; only the 54 normal subgroups are shown.
This group has 206 conjugacy classes of subgroups — too many to draw. Only its 54 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. #65791⋊C3 | C2 | direct (N × H) |
| 3. C2×#65791 | C3 | semidirect |
| 11. #65791 | C2×C3 | semidirect |
| 141. C2×C5 | #504⋊C3 | semidirect |
| 161. C5 | C2×#504⋊C3 | semidirect |
| 173. C2 | #65791⋊C3 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#4094⋊C3 | 2 |
| #65791⋊C3 | 2 |
| C2×#65791 | 3 |
| C2×C3×#674 | 4 |
| C2×#504⋊C3 | 5 |