Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
108 conjugacy classes of subgroups; only the 37 normal subgroups are shown.
This group has 108 conjugacy classes of subgroups — too many to draw. Only its 37 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 |
|---|---|---|
| 80. C3×C5 | #362 | semidirect |
| 98. C5 | #4565 | semidirect |
| 104. C3 | #64910 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×D5×Q16 | 2 |
| #91224 | 2 |
| #91219 | 2 |
| #64910 | 3 |
| #4565 | 5 |