Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
888 conjugacy classes of subgroups; only the 167 normal subgroups are shown.
This group has 888 conjugacy classes of subgroups — too many to draw. Only its 167 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 |
|---|---|---|
| 1. C3×C5×#518 | C2 | semidirect |
| 3. C2×#91117 | C2 | semidirect |
| 4. #11751102 | C2 | semidirect |
| 5. #11746353 | C2 | semidirect |
| 14. #91829 | C4 | semidirect |
| 20. C5×#518 | D3 | semidirect |
| 39. C2×D60 | C2×C4 | semidirect |
| 40. C3×C5×C4⋊C4 | D4 | semidirect |
| 45. C4×Dic15 | C2×C4 | semidirect |
| 49. C3×#518 | D5 | semidirect |
| 117. C5×C4⋊C4 | #67 | semidirect |
| 127. #518 | D15 | semidirect |
| 162. C3×C4⋊C4 | C22⋊D5 | semidirect |
| 269. C4⋊C4 | #1220 | semidirect |
| 275. C3×C5 | #1887 | semidirect |
| 327. C5 | #71650 | semidirect |
| 344. C3 | #10602443 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×C5×#518 | 2 |
| C2×#91829 | 2 |
| C2×#91117 | 2 |
| #11751102 | 2 |
| #11746353 | 2 |
| #10602443 | 3 |
| #71650 | 5 |