Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
128 conjugacy classes of subgroups; only the 36 normal subgroups are shown.
This group has 128 conjugacy classes of subgroups — too many to draw. Only its 36 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. C3×#4005 | C2 | semidirect |
| 3. #64856 | C3 | direct (N × H) |
| 11. #4005 | C2×C3 | semidirect |
| 68. C3×C5 | #355 | semidirect |
| 88. C5 | C3×#355 | semidirect |
| 95. C3 | #64856 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×#4021 | 2 |
| C3×#4005 | 2 |
| #64856 | 3 |
| C3×#355 | 5 |