Finite Group DatabasebetaFinite Group DatabasebetaOrder 480.
140 conjugacy classes of subgroups; only the 62 normal subgroups are shown.
This group has 140 conjugacy classes of subgroups — too many to draw. Only its 62 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 |
|---|---|---|
| 16. #1204 | C4 | semidirect |
| 30. C3×Dic5 | Q8 | semidirect |
| 66. Dic5 | Dic6 | semidirect |
| 75. C3×C5 | C4×Q8 | semidirect |
| 98. C5 | C4×Dic6 | semidirect |
| 107. C3 | #4033 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#1204 | 2 |
| #6712 | 2 |
| C5×Dic3⋊C4 | 2 |
| C3×C4×Dic5 | 2 |
| #6668 | 2 |
| Dic3×Dic5 | 2 |
| #4033 | 3 |
| C4×Dic6 | 5 |