Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
360 conjugacy classes of subgroups; only the 175 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 175 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 |
|---|---|---|
| 107. C3×C5 | #1838 | semidirect |
| 128. C5 | #69841 | semidirect |
| 135. C3 | #10600634 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C3×C5×#97 | 2 |
| #11751025 | 2 |
| #11746373 | 2 |
| #10600634 | 3 |
| #69841 | 5 |