Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
192 conjugacy classes of subgroups; only the 76 normal subgroups are shown.
This group has 192 conjugacy classes of subgroups — too many to draw. Only its 76 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 |
|---|---|---|
| 28. C5×Dic6 | Q8 | semidirect |
| 90. Dic6 | Dic10 | semidirect |
| 109. C3×C5 | #477 | semidirect |
| 134. C5 | #5091 | semidirect |
| 143. C3 | #65310 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×C5×Dic6 | 2 |
| C3×#4015 | 2 |
| C4⋊(C3⋊#168) | 2 |
| #90989 | 2 |
| #90972 | 2 |
| #65310 | 3 |
| #5091 | 5 |