Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
164 conjugacy classes of subgroups; only the 56 normal subgroups are shown.
This group has 164 conjugacy classes of subgroups — too many to draw. Only its 56 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 |
|---|---|---|
| 1. C2×Dic60 | C2 | semidirect |
| 3. C5×#812 | C2 | semidirect |
| 4. #90947 | C2 | semidirect |
| 5. #90942 | C2 | semidirect |
| 36. #812 | D5 | semidirect |
| 105. C3×C5 | #510 | semidirect |
| 128. C5 | #5195 | semidirect |
| 135. C3 | #65198 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×Dic60 | 2 |
| C3×#4050 | 2 |
| C5×#812 | 2 |
| #90947 | 2 |
| #90942 | 2 |
| #65198 | 3 |
| #5195 | 5 |