Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
512 conjugacy classes of subgroups; only the 100 normal subgroups are shown.
This group has 512 conjugacy classes of subgroups — too many to draw. Only its 100 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×#65310 | C2 | semidirect |
| 3. #11747081 | C2 | semidirect |
| 4. #11746882 | C2 | semidirect |
| 5. #11746356 | C2 | semidirect |
| 6. #11745853 | C2 | semidirect |
| 7. #11745836 | C2 | semidirect |
| 29. #65310 | D3 | semidirect |
| 87. C3×C5×Q8 | SD16 | semidirect |
| 204. C5×Q8 | #215 | semidirect |
| 254. C3×Q8 | #687 | semidirect |
| 318. C3×C5 | #1631 | semidirect |
| 344. Q8 | #6656 | semidirect |
| 372. C5 | #71160 | 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×#5577 | 2 |
| C3×#65310 | 2 |
| #11747081 | 2 |
| #11746882 | 2 |
| #11746356 | 2 |
| #11745853 | 2 |
| #11745836 | 2 |
| #10602712 | 3 |
| #71160 | 5 |