Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
164 conjugacy classes of subgroups; only the 62 normal subgroups are shown.
This group has 164 conjugacy classes of subgroups — too many to draw. Only its 62 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. C5×C4⋊(C3⋊C8) | C2 | semidirect |
| 3. C3×C4×#168 | C2 | semidirect |
| 15. C4×#168 | D3 | semidirect |
| 22. D60 | C8 | semidirect |
| 29. C4⋊(C3⋊C8) | D5 | semidirect |
| 101. C3×C5 | D4⋊C8 | semidirect |
| 131. C5 | #4459 | semidirect |
| 142. C3 | #64703 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×D60 | 2 |
| C5×C4⋊(C3⋊C8) | 2 |
| C3×C4×#168 | 2 |
| #64703 | 3 |
| #4459 | 5 |