Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
480 conjugacy classes of subgroups; only the 150 normal subgroups are shown.
This group has 480 conjugacy classes of subgroups — too many to draw. Only its 150 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 |
|---|---|---|
| 10. #91231 | C4 | semidirect |
| 12. C4×C3⋊#168 | C4 | semidirect |
| 13. C4×C5×C3⋊C8 | C4 | semidirect |
| 14. Dic5×C3⋊C8 | C4 | semidirect |
| 66. C4×C3⋊C8 | AGL(1,𝔽5) | semidirect |
| 159. C3×C5 | #1746 | semidirect |
| 186. C5 | #69435 | semidirect |
| 195. C3 | #10603840 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11752335 | 2 |
| C3×#65686 | 2 |
| C4×D5×C3⋊C8 | 2 |
| (C2×AGL(1,𝔽5))⋊(C3⋊C8) | 2 |
| #10603840 | 3 |
| #69435 | 5 |