Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
324 conjugacy classes of subgroups; only the 104 normal subgroups are shown.
This group has 324 conjugacy classes of subgroups — too many to draw. Only its 104 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. C2×C5×C4⋊Dic3 | C2 | semidirect |
| 3. C2×C3×#681 | C2 | semidirect |
| 4. #90975 | C2 | semidirect |
| 5. #90969 | C2 | semidirect |
| 10. #6817 | C4 | semidirect |
| 22. C2×#681 | D3 | semidirect |
| 34. D60 | C2×C4 | semidirect |
| 37. Dic30 | C2×C4 | semidirect |
| 43. C2×C4⋊Dic3 | D5 | semidirect |
| 149. C3×C5 | #417 | semidirect |
| 188. C5 | #5133 | semidirect |
| 201. C3 | #65255 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#6817 | 2 |
| C2×C5×C4⋊Dic3 | 2 |
| C2×C3×#681 | 2 |
| #90975 | 2 |
| #90969 | 2 |
| #65255 | 3 |
| #5133 | 5 |