Finite Group DatabasebetaFinite Group DatabasebetaOrder 480.
152 conjugacy classes of subgroups; only the 49 normal subgroups are shown.
This group has 152 conjugacy classes of subgroups — too many to draw. Only its 49 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. C2×Dic30 | C2 | semidirect |
| 3. C3×C5×C22⋊C4 | C2 | semidirect |
| 4. #6719 | C2 | semidirect |
| 5. #6714 | C2 | semidirect |
| 6. #6714 | C2 | semidirect |
| 7. C4×Dic15 | C2 | semidirect |
| 21. C5×C22⋊C4 | D3 | semidirect |
| 40. C3×C22⋊C4 | D5 | semidirect |
| 86. C22⋊C4 | D15 | semidirect |
| 88. C3×C5 | #124 | semidirect |
| 120. C5 | #885 | semidirect |
| 133. C3 | #4031 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#1220 | 2 |
| C2×Dic30 | 2 |
| C3×C5×C22⋊C4 | 2 |
| #6719 | 2 |
| #6714 | 2 |
| C4×Dic15 | 2 |
| #4031 | 3 |
| #885 | 5 |