Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
228 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 228 conjugacy classes of subgroups — too many to draw. Only its 83 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 |
|---|---|---|
| 4. C3×C5×C4⋊C8 | C2 | semidirect |
| 5. #91098 | C2 | semidirect |
| 6. #91098 | C2 | semidirect |
| 7. C4⋊(C3⋊#168) | C2 | semidirect |
| 26. C5×C4⋊C8 | D3 | semidirect |
| 46. C3×C4⋊C8 | D5 | semidirect |
| 107. C4⋊C8 | D15 | semidirect |
| 149. C3×C5 | #424 | semidirect |
| 182. C5 | #4839 | semidirect |
| 194. C3 | #65128 | 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 |
| #91761 | 2 |
| C3×C5×C4⋊C8 | 2 |
| #91098 | 2 |
| C4⋊(C3⋊#168) | 2 |
| #65128 | 3 |
| #4839 | 5 |