Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
252 conjugacy classes of subgroups; only the 86 normal subgroups are shown.
This group has 252 conjugacy classes of subgroups — too many to draw. Only its 86 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 |
|---|---|---|
| 4. C5×Dic3⋊C8 | C2 | semidirect |
| 5. C3×#3946 | C2 | semidirect |
| 6. Dic3⋊#168 | C2 | semidirect |
| 7. #90982 | C2 | semidirect |
| 28. #3946 | D3 | semidirect |
| 50. Dic3⋊C8 | D5 | semidirect |
| 74. C3×Dic5 | M16 | semidirect |
| 76. C5×Dic3 | M16 | semidirect |
| 141. Dic5 | ΓL(1,𝔽25) | semidirect |
| 155. C3×C5 | #423 | semidirect |
| 166. Dic3 | #676 | semidirect |
| 190. C5 | #4837 | semidirect |
| 202. C3 | #65126 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#6705 | 2 |
| C4×#1200 | 2 |
| C2×#6651 | 2 |
| C5×Dic3⋊C8 | 2 |
| C3×#3946 | 2 |
| Dic3⋊#168 | 2 |
| #90982 | 2 |
| #65126 | 3 |
| #4837 | 5 |