Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
432 conjugacy classes of subgroups; only the 98 normal subgroups are shown.
This group has 432 conjugacy classes of subgroups — too many to draw. Only its 98 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 |
|---|---|---|
| 4. #11746801 | C2 | semidirect |
| 5. C3×Q8⋊#170 | C2 | semidirect |
| 6. #11746493 | C2 | semidirect |
| 7. #11746492 | C2 | semidirect |
| 35. Q8⋊#170 | D3 | semidirect |
| 331. C3×C5 | #1481 | semidirect |
| 381. C5 | #68232 | semidirect |
| 398. C3 | #10604645 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11755184 | 2 |
| #11751901 | 2 |
| #11751797 | 2 |
| #11746801 | 2 |
| C3×Q8⋊#170 | 2 |
| #11746493 | 2 |
| #11746492 | 2 |
| #10604645 | 3 |
| #68232 | 5 |