Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
320 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 320 conjugacy classes of subgroups — too many to draw. Only its 97 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 |
|---|---|---|
| 3. Q8×C3⋊#168 | C2 | semidirect |
| 4. #11751122 | C2 | semidirect |
| 6. #11746302 | C2 | semidirect |
| 7. #11746301 | C2 | semidirect |
| 248. C3×C5 | #1678 | semidirect |
| 289. C5 | #71022 | semidirect |
| 302. C3 | #10601815 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×C5×#460 | 2 |
| #11751171 | 2 |
| Q8×C3⋊#168 | 2 |
| #11751122 | 2 |
| #11746365 | 2 |
| #11746302 | 2 |
| #11746301 | 2 |
| #10601815 | 3 |
| #71022 | 5 |