Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
224 conjugacy classes of subgroups; only the 82 normal subgroups are shown.
This group has 224 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×Q8×Dic5 | C2 | semidirect |
| 3. C2×C3×#689 | C2 | semidirect |
| 6. C3×#3948 | C2 | semidirect |
| 7. C3×#3946 | C2 | semidirect |
| 8. #65455 | C3 | direct (N × H) |
| 24. Q8×Dic5 | C2×C3 | semidirect |
| 25. C2×#689 | C2×C3 | semidirect |
| 28. #3948 | C2×C3 | semidirect |
| 29. #3946 | C2×C3 | semidirect |
| 155. C3×C5 | #464 | semidirect |
| 190. C5 | C3×#464 | semidirect |
| 202. C3 | #65455 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C3×C5×SD16 | 2 |
| C3×Q8×Dic5 | 2 |
| C2×C3×#689 | 2 |
| C3×#4082 | 2 |
| C3×#3964 | 2 |
| C3×#3948 | 2 |
| C3×#3946 | 2 |
| #65455 | 3 |
| C3×#464 | 5 |