Finite Group DatabasebetaFinite Group DatabasebetaOrder 480.
120 conjugacy classes of subgroups; only the 44 normal subgroups are shown.
This group has 120 conjugacy classes of subgroups — too many to draw. Only its 44 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×Dic3⋊C4 | C2 | semidirect |
| 3. C3×C4⋊Dic5 | C2 | semidirect |
| 4. #6668 | C2 | semidirect |
| 7. Dic3×Dic5 | C2 | semidirect |
| 21. C4⋊Dic5 | D3 | semidirect |
| 39. Dic3⋊C4 | D5 | semidirect |
| 77. C3×C5 | #126 | semidirect |
| 103. C5 | #898 | semidirect |
| 114. C3 | #4044 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #6714 | 2 |
| C5×Dic3⋊C4 | 2 |
| C3×C4⋊Dic5 | 2 |
| #6668 | 2 |
| #6667 | 2 |
| Dic3×Dic5 | 2 |
| #4044 | 3 |
| #898 | 5 |