Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
172 conjugacy classes of subgroups; only the 86 normal subgroups are shown.
This group has 172 conjugacy classes of subgroups — too many to draw. Only its 86 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 |
|---|---|---|
| 6. #65167 | C3 | direct (N × H) |
| 90. C3×C5 | #499 | semidirect |
| 111. C5 | C3×#499 | semidirect |
| 119. C3 | #65167 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×#4036 | 2 |
| C3×C5×#107 | 2 |
| C3×#3950 | 2 |
| C3×C8×Dic5 | 2 |
| C3×#3940 | 2 |
| #65167 | 3 |
| C3×#499 | 5 |