Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
424 conjugacy classes of subgroups; only the 92 normal subgroups are shown.
This group has 424 conjugacy classes of subgroups — too many to draw. Only its 92 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. #11751132 | C2 | semidirect |
| 3. #11746945 | C2 | semidirect |
| 5. C3×Q8⋊#168 | C2 | semidirect |
| 7. #11745843 | C2 | semidirect |
| 33. Q8⋊#168 | D3 | semidirect |
| 296. C3×C5 | #1640 | semidirect |
| 343. C5 | #68262 | semidirect |
| 358. C3 | #10602738 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#5585 | 2 |
| #11751132 | 2 |
| #11746945 | 2 |
| #11746906 | 2 |
| C3×Q8⋊#168 | 2 |
| #11745853 | 2 |
| #11745843 | 2 |
| #10602738 | 3 |
| #68262 | 5 |