Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
244 conjugacy classes of subgroups; only the 94 normal subgroups are shown.
This group has 244 conjugacy classes of subgroups — too many to draw. Only its 94 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. #5183 | C5 | direct (N × H) |
| 52. C5×Dic3 | Q16 | semidirect |
| 104. C3×C5 | #494 | semidirect |
| 110. Dic3 | C5×Q16 | semidirect |
| 125. C5 | #5183 | direct (N × H) |
| 132. C3 | C5×#494 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C3×C5×Q16 | 2 |
| C5×#944 | 2 |
| C2×C5×#216 | 2 |
| C2×C5×Dic12 | 2 |
| C5×C8×Dic3 | 2 |
| C5×#494 | 3 |
| #5183 | 5 |