Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
176 conjugacy classes of subgroups; only the 45 normal subgroups are shown.
This group has 176 conjugacy classes of subgroups — too many to draw. Only its 45 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. #11746731 | C2 | semidirect |
| 96. C3×C5 | #1355 | semidirect |
| 116. C5 | #67783 | semidirect |
| 123. C3 | #10598734 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×#65356 | 2 |
| #11746731 | 2 |
| #10598734 | 3 |
| #67783 | 5 |