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. C3×#3947 | C2 | semidirect |
| 5. C3×C4⋊#168 | C2 | semidirect |
| 6. #65124 | C3 | direct (N × H) |
| 18. C5×C4⋊C8 | C2×C3 | semidirect |
| 20. #3947 | C2×C3 | semidirect |
| 21. C4⋊#168 | C2×C3 | semidirect |
| 37. C3×C4⋊C8 | D5 | semidirect |
| 85. C4⋊C8 | C3×D5 | semidirect |
| 125. C3×C5 | #432 | semidirect |
| 158. C5 | C3×#432 | semidirect |
| 170. C3 | #65124 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×C42×D5 | 2 |
| C3×C5×C4⋊C8 | 2 |
| C3×#3952 | 2 |
| C3×#3947 | 2 |
| C3×C4⋊#168 | 2 |
| #65124 | 3 |
| C3×#432 | 5 |