Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
236 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 236 conjugacy classes of subgroups — too many to draw. Only its 93 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 |
|---|---|---|
| 2. C3×C5×C4⋊C8 | C2 | semidirect |
| 4. C8×Dic15 | C2 | semidirect |
| 5. C4⋊(C3⋊#168) | C2 | semidirect |
| 18. C5×C4⋊C8 | D3 | semidirect |
| 32. C4×D15 | C8 | semidirect |
| 36. C3×C4⋊C8 | D5 | semidirect |
| 85. C4⋊C8 | D15 | semidirect |
| 125. C3×C5 | #431 | semidirect |
| 158. C5 | #4833 | semidirect |
| 170. C3 | #65122 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C42×D15 | 2 |
| C3×C5×C4⋊C8 | 2 |
| #91104 | 2 |
| C8×Dic15 | 2 |
| C4⋊(C3⋊#168) | 2 |
| #65122 | 3 |
| #4833 | 5 |