Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
644 conjugacy classes of subgroups; only the 208 normal subgroups are shown.
This group has 644 conjugacy classes of subgroups — too many to draw. Only its 208 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 |
|---|---|---|
| 2. C22×C3×Dic10 | C2 | semidirect |
| 3. C2×C4⋊Dic15 | C2 | semidirect |
| 4. C2×#6669 | C2 | semidirect |
| 6. #91369 | C2 | direct (N × H) |
| 16. C2×C3×Dic10 | C22 | semidirect |
| 17. C4⋊Dic15 | C22 | semidirect |
| 18. #6669 | C22 | semidirect |
| 22. C22×Dic10 | D3 | semidirect |
| 30. C22×C5×D3 | Q8 | semidirect |
| 56. C2×Dic10 | C2×D3 | semidirect |
| 68. C2×C5×D3 | C2×Q8 | semidirect |
| 106. C2×C3×C5 | C22⋊Q8 | semidirect |
| 114. C22×D3 | Dic10 | semidirect |
| 150. C3×C5 | C2×C22⋊Q8 | semidirect |
| 158. C2×D3 | C2×Dic10 | semidirect |
| 164. C2×C5 | #946 | semidirect |
| 183. C2×C3 | #4070 | semidirect |
| 188. C5 | C2×#946 | semidirect |
| 201. C3 | C2×#4070 | semidirect |
| 203. C2 | #91369 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×C4×C5×D3 | 2 |
| C22×C3×Dic10 | 2 |
| C2×C4⋊Dic15 | 2 |
| C2×#6669 | 2 |
| C2×(C2×D3)⋊Dic5 | 2 |
| #91369 | 2 |
| C2×#4070 | 3 |
| C2×#946 | 5 |