Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
204 conjugacy classes of subgroups; only the 82 normal subgroups are shown.
This group has 204 conjugacy classes of subgroups — too many to draw. Only its 82 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. C3×#4016 | C2 | semidirect |
| 3. C3×C5×C4⋊C8 | C2 | semidirect |
| 6. C3×#3950 | C2 | semidirect |
| 7. C3×#3949 | C2 | semidirect |
| 8. #65136 | C3 | direct (N × H) |
| 22. #4016 | C2×C3 | semidirect |
| 23. C5×C4⋊C8 | C2×C3 | semidirect |
| 26. #3950 | C2×C3 | semidirect |
| 27. #3949 | C2×C3 | semidirect |
| 44. C3×C4⋊C8 | D5 | semidirect |
| 97. C4⋊C8 | C3×D5 | semidirect |
| 138. C3×C5 | #478 | semidirect |
| 170. C5 | C3×#478 | semidirect |
| 182. C3 | #65136 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×C4×D20 | 2 |
| C3×#4016 | 2 |
| C3×C5×C4⋊C8 | 2 |
| C3×#3953 | 2 |
| C3×#3950 | 2 |
| C3×#3949 | 2 |
| #65136 | 3 |
| C3×#478 | 5 |