Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
192 conjugacy classes of subgroups; only the 82 normal subgroups are shown.
This group has 192 conjugacy classes of subgroups — too many to draw. Only its 82 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 |
|---|---|---|
| 8. #65143 | C3 | direct (N × H) |
| 37. C3×Dic10 | Q8 | semidirect |
| 88. Dic10 | C3×Q8 | semidirect |
| 133. C3×C5 | #475 | semidirect |
| 161. C5 | C3×#475 | semidirect |
| 171. C3 | #65143 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×#4034 | 2 |
| C3×#4033 | 2 |
| C3×C5×#106 | 2 |
| C3×#3948 | 2 |
| C3×#3946 | 2 |
| C3×#3942 | 2 |
| C3×#3940 | 2 |
| #65143 | 3 |
| C3×#475 | 5 |