Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
146 conjugacy classes of subgroups; only the 32 normal subgroups are shown.
This group has 146 conjugacy classes of subgroups — too many to draw. Only its 32 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. #4133⋊C3 | C2 | semidirect |
| 3. #66260 | C3 | semidirect |
| 11. #4133 | C2×C3 | semidirect |
| 109. C5 | #568⋊C3 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C5⋊(#41⋊C3) | 2 |
| #4133⋊C3 | 2 |
| #66260 | 3 |
| C3×#704 | 4 |
| #568⋊C3 | 5 |