Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
1680 conjugacy classes of subgroups; only the 495 normal subgroups are shown.
This group has 1680 conjugacy classes of subgroups — too many to draw. Only its 495 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×#376 | C2 | semidirect |
| 3. #11751033 | C2 | semidirect |
| 5. #11750749 | C2 | semidirect |
| 12. C42×D15 | C4 | semidirect |
| 17. C5×#376 | D3 | semidirect |
| 29. C3×C42×C5 | C2×C4 | semidirect |
| 30. C4×Dic15 | C2×C4 | semidirect |
| 31. C4×Dic15 | C2×C4 | semidirect |
| 33. C3×#376 | D5 | semidirect |
| 73. C42×C5 | C4×D3 | semidirect |
| 79. #376 | D15 | direct (N × H) |
| 97. C3×C42 | C4×D5 | semidirect |
| 121. D15 | #376 | direct (N × H) |
| 151. C42 | C4×D15 | semidirect |
| 152. C3×C5 | C2×#376 | semidirect |
| 178. C5 | D3×#376 | semidirect |
| 187. C3 | D5×#376 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C42×D15 | 2 |
| C3×C5×#376 | 2 |
| #11751033 | 2 |
| D15×#95 | 2 |
| #11750749 | 2 |
| D5×#376 | 3 |
| D3×#376 | 5 |