Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
248 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 248 conjugacy classes of subgroups — too many to draw. Only its 79 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×#6705 | C2 | semidirect |
| 2. C2×C8×D15 | C2 | semidirect |
| 4. C3×C5×C4⋊C8 | C2 | semidirect |
| 5. #91104 | C2 | semidirect |
| 6. #91104 | C2 | semidirect |
| 7. #91087 | C2 | semidirect |
| 26. C5×C4⋊C8 | D3 | semidirect |
| 45. C3⋊#168 | D4 | semidirect |
| 49. C3×C4⋊C8 | D5 | semidirect |
| 73. C2×D15 | M16 | semidirect |
| 112. C4⋊C8 | D15 | semidirect |
| 163. C3×C5 | #435 | semidirect |
| 203. C5 | #4836 | semidirect |
| 217. C3 | #65125 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#6705 | 2 |
| C2×C8×D15 | 2 |
| C4×D60 | 2 |
| C3×C5×C4⋊C8 | 2 |
| #91104 | 2 |
| #91087 | 2 |
| #65125 | 3 |
| #4836 | 5 |