Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
180 conjugacy classes of subgroups; only the 72 normal subgroups are shown.
This group has 180 conjugacy classes of subgroups — too many to draw. Only its 72 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 |
|---|---|---|
| 36. C3×C5×C8 | Q8 | semidirect |
| 37. C5×C3⋊C8 | Q8 | semidirect |
| 86. C5×C8 | Dic6 | semidirect |
| 105. C3×C8 | Dic10 | semidirect |
| 106. C3⋊C8 | Dic10 | semidirect |
| 127. C3×C5 | #501 | semidirect |
| 149. C8 | #1204 | semidirect |
| 153. C5 | #4856 | semidirect |
| 163. C3 | #64991 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #91469 | 2 |
| #91381 | 2 |
| #91102 | 2 |
| C5×#815 | 2 |
| C3×#3949 | 2 |
| #90990 | 2 |
| #90987 | 2 |
| #64991 | 3 |
| #4856 | 5 |