Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
424 conjugacy classes of subgroups; only the 130 normal subgroups are shown.
This group has 424 conjugacy classes of subgroups — too many to draw. Only its 130 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 |
|---|---|---|
| 1. C3×C5×#494 | C2 | semidirect |
| 2. C3×#65377 | C2 | semidirect |
| 4. C3×C8×#168 | C2 | semidirect |
| 5. #10602090 | C3 | direct (N × H) |
| 14. C5×#494 | C2×C3 | semidirect |
| 15. #65377 | C2×C3 | semidirect |
| 17. C8×#168 | C2×C3 | semidirect |
| 27. C3×#494 | D5 | semidirect |
| 64. #494 | C3×D5 | semidirect |
| 126. C3×C5 | #1709 | semidirect |
| 148. C5 | C3×#1709 | semidirect |
| 155. C3 | #10602090 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×C5×#494 | 2 |
| C3×#65377 | 2 |
| C3×#64984 | 2 |
| C3×C8×#168 | 2 |
| #10602090 | 3 |
| C3×#1709 | 5 |