Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
656 conjugacy classes of subgroups; only the 335 normal subgroups are shown.
This group has 656 conjugacy classes of subgroups — too many to draw. Only its 335 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 |
|---|---|---|
| 9. #91087 | C4 | semidirect |
| 10. C4×C3⋊#168 | C4 | semidirect |
| 101. C3×C5 | #1726 | semidirect |
| 118. C5 | #69434 | semidirect |
| 124. C3 | #10600227 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×C5×#376 | 2 |
| C2×#91087 | 2 |
| C2×C4×C3⋊#168 | 2 |
| #10600227 | 3 |
| #69434 | 5 |