Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
344 conjugacy classes of subgroups; only the 112 normal subgroups are shown.
This group has 344 conjugacy classes of subgroups — too many to draw. Only its 112 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 |
|---|---|---|
| 8. #91087 | C4 | semidirect |
| 11. C5×C4⋊(C3⋊C8) | C4 | semidirect |
| 66. C4⋊(C3⋊C8) | Dic5 | semidirect |
| 175. C3×C5 | #1300 | semidirect |
| 210. C5 | #67615 | semidirect |
| 222. C3 | #10598239 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#6710 | 2 |
| C5×#4926 | 2 |
| C3×#65221 | 2 |
| #10598239 | 3 |
| #67615 | 5 |