Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
200 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 200 conjugacy classes of subgroups — too many to draw. Only its 67 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. C3×C5×C4⋊Q8 | C2 | semidirect |
| 3. #91094 | C2 | semidirect |
| 5. #91087 | C2 | semidirect |
| 17. C5×C4⋊Q8 | D3 | semidirect |
| 32. C3×C4⋊Q8 | D5 | semidirect |
| 75. C4⋊Q8 | D15 | semidirect |
| 112. C3×C5 | #489 | semidirect |
| 140. C5 | #5089 | semidirect |
| 150. C3 | #65378 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×C5×C4⋊Q8 | 2 |
| #91764 | 2 |
| #91094 | 2 |
| #91093 | 2 |
| #91087 | 2 |
| #65378 | 3 |
| #5089 | 5 |