Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
512 conjugacy classes of subgroups; only the 96 normal subgroups are shown.
This group has 512 conjugacy classes of subgroups — too many to draw. Only its 96 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 |
|---|---|---|
| 2. C3×#65297 | C2 | semidirect |
| 3. #11747081 | C2 | semidirect |
| 4. #11746959 | C2 | semidirect |
| 5. D4⋊(C3⋊#168) | C2 | semidirect |
| 6. #11745853 | C2 | semidirect |
| 7. #11745842 | C2 | semidirect |
| 30. #65297 | D3 | semidirect |
| 105. C5×Dic6 | SD16 | semidirect |
| 273. Dic6 | #687 | semidirect |
| 318. C3×C5 | #1631 | semidirect |
| 372. C5 | #71141 | semidirect |
| 389. C3 | #10602712 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#5553 | 2 |
| C3×#65297 | 2 |
| #11747081 | 2 |
| #11746959 | 2 |
| D4⋊(C3⋊#168) | 2 |
| #11745853 | 2 |
| #11745842 | 2 |
| #10602712 | 3 |
| #71141 | 5 |