Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
344 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 344 conjugacy classes of subgroups — too many to draw. Only its 87 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. #11750952 | C2 | semidirect |
| 4. #11750931 | C2 | semidirect |
| 6. #11746303 | C2 | semidirect |
| 7. #11746301 | C2 | semidirect |
| 89. Dic30 | SD16 | semidirect |
| 94. C3⋊#168 | SD16 | semidirect |
| 259. C3×C5 | #1666 | semidirect |
| 301. C5 | #68408 | semidirect |
| 314. C3 | #10599201 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11751177 | 2 |
| #11751176 | 2 |
| #11750952 | 2 |
| #11750931 | 2 |
| C3×C5×#331 | 2 |
| #11746303 | 2 |
| #11746301 | 2 |
| #10599201 | 3 |
| #68408 | 5 |