Finite Group DatabasebetaFinite Group DatabasebetaOrder 480.
124 conjugacy classes of subgroups; only the 40 normal subgroups are shown.
This group has 124 conjugacy classes of subgroups — too many to draw. Only its 40 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 |
|---|---|---|
| 1. C3×#713 | C2 | semidirect |
| 2. #6773 | C2 | semidirect |
| 3. #6717 | C2 | semidirect |
| 4. C5×#216 | C2 | semidirect |
| 5. #6655 | C2 | semidirect |
| 6. #6653 | C2 | semidirect |
| 7. D5×C3⋊C8 | C2 | semidirect |
| 22. #713 | D3 | semidirect |
| 37. #216 | D5 | semidirect |
| 83. C3×C5 | #135 | semidirect |
| 110. C5 | #950 | semidirect |
| 118. C3 | #4065 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×#713 | 2 |
| #6773 | 2 |
| #6717 | 2 |
| C5×#216 | 2 |
| #6655 | 2 |
| #6653 | 2 |
| D5×C3⋊C8 | 2 |
| #4065 | 3 |
| #950 | 5 |