Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
208 conjugacy classes of subgroups; only the 55 normal subgroups are shown.
This group has 208 conjugacy classes of subgroups — too many to draw. Only its 55 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×C5×Q64 | C2 | semidirect |
| 3. #11746343 | C2 | semidirect |
| 4. Dic240 | C2 | semidirect |
| 16. C5×Q64 | D3 | semidirect |
| 28. C3×Q64 | D5 | semidirect |
| 64. Q64 | D15 | direct (N × H) |
| 93. D15 | Q64 | direct (N × H) |
| 113. C3×C5 | C2×Q64 | semidirect |
| 130. C5 | D3×Q64 | semidirect |
| 136. C3 | D5×Q64 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D15×Q32 | 2 |
| C3×C5×Q64 | 2 |
| #11746343 | 2 |
| Dic240 | 2 |
| D15×C32 | 2 |
| D5×Q64 | 3 |
| D3×Q64 | 5 |