Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
168 conjugacy classes of subgroups; only the 88 normal subgroups are shown.
This group has 168 conjugacy classes of subgroups — too many to draw. Only its 88 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. C2×C3⋊#672 | C2 | semidirect |
| 3. C3×#3944 | C2 | semidirect |
| 4. #90935 | C2 | semidirect |
| 5. D3×#672 | C2 | semidirect |
| 18. #3944 | D3 | semidirect |
| 93. C3×C5 | #504 | semidirect |
| 113. C5 | #4907 | semidirect |
| 119. C3 | #65429 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#901 | 2 |
| C2×C3⋊#672 | 2 |
| C3×#3944 | 2 |
| #90935 | 2 |
| D3×#672 | 2 |
| #65429 | 3 |
| #4907 | 5 |