Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
276 conjugacy classes of subgroups; only the 130 normal subgroups are shown.
This group has 276 conjugacy classes of subgroups — too many to draw. Only its 130 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 |
|---|---|---|
| 4. Dic3⋊#170 | C2 | direct (N × H) |
| 23. C2×C5×Dic3 | C8 | semidirect |
| 53. C5×Dic3 | C2×C8 | semidirect |
| 78. C2×C3×C5 | C4⋊C8 | semidirect |
| 89. C2×Dic3 | #170 | semidirect |
| 111. C3×C5 | C2×C4⋊C8 | semidirect |
| 120. Dic3 | C2×#170 | semidirect |
| 121. C2×C5 | Dic3⋊C8 | semidirect |
| 136. C2×C3 | C4⋊#170 | semidirect |
| 140. C5 | C2×Dic3⋊C8 | semidirect |
| 150. C3 | C2×C4⋊#170 | semidirect |
| 151. C2 | Dic3⋊#170 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×C3⋊#170 | 2 |
| C22×C3×#170 | 2 |
| C2×Dic3×Dic5 | 2 |
| Dic3⋊#170 | 2 |
| C2×C4⋊#170 | 3 |
| C2×Dic3⋊C8 | 5 |