Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
372 conjugacy classes of subgroups; only the 167 normal subgroups are shown.
This group has 372 conjugacy classes of subgroups — too many to draw. Only its 167 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 |
|---|---|---|
| 8. C2×C3×C5×Q8 | C4 | semidirect |
| 32. C2×Dic15 | Q8 | semidirect |
| 39. C2×C5×Q8 | Dic3 | semidirect |
| 58. C2×C3×Q8 | Dic5 | semidirect |
| 111. C2×Q8 | Dic15 | semidirect |
| 118. C3×C5 | #391 | semidirect |
| 151. C5 | #5229 | semidirect |
| 161. C3 | #65519 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×C3×C5×Q8 | 2 |
| C2×C4⋊Dic15 | 2 |
| C2×C4×Dic15 | 2 |
| #91115 | 2 |
| #65519 | 3 |
| #5229 | 5 |