Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
400 conjugacy classes of subgroups; only the 92 normal subgroups are shown.
This group has 400 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. C3×#65367 | C2 | semidirect |
| 4. #11746927 | C2 | semidirect |
| 5. #11746368 | C2 | semidirect |
| 6. #11745843 | C2 | semidirect |
| 28. #65367 | D3 | semidirect |
| 290. C3×C5 | #1650 | semidirect |
| 335. C5 | #71370 | semidirect |
| 350. C3 | #10602726 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#5732 | 2 |
| C3×#65367 | 2 |
| #11747070 | 2 |
| #11746927 | 2 |
| #11746368 | 2 |
| #11745843 | 2 |
| #11745837 | 2 |
| #10602726 | 3 |
| #71370 | 5 |