Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
220 conjugacy classes of subgroups; only the 106 normal subgroups are shown.
This group has 220 conjugacy classes of subgroups — too many to draw. Only its 106 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. C5×#815 | C2 | semidirect |
| 5. C5×C4⋊(C3⋊C8) | C2 | semidirect |
| 16. #4835 | C5 | direct (N × H) |
| 19. C5×C4⋊C8 | D3 | semidirect |
| 36. C3×C4⋊C8 | C2×C5 | semidirect |
| 38. #815 | C2×C5 | semidirect |
| 39. C4⋊(C3⋊C8) | C2×C5 | semidirect |
| 85. C4⋊C8 | C5×D3 | semidirect |
| 125. C3×C5 | #432 | semidirect |
| 158. C5 | #4835 | direct (N × H) |
| 170. C3 | C5×#432 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C42×C5×D3 | 2 |
| C3×C5×C4⋊C8 | 2 |
| C5×(C2×D3)⋊C8 | 2 |
| C5×#815 | 2 |
| C5×C4⋊(C3⋊C8) | 2 |
| C5×#432 | 3 |
| #4835 | 5 |