Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
340 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 340 conjugacy classes of subgroups — too many to draw. Only its 89 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. #11751171 | C2 | semidirect |
| 3. #11751113 | C2 | semidirect |
| 4. #11751109 | C2 | semidirect |
| 5. #11746365 | C2 | semidirect |
| 6. #11746302 | C2 | semidirect |
| 7. #11746300 | C2 | semidirect |
| 263. C3×C5 | #1697 | semidirect |
| 310. C5 | #71010 | semidirect |
| 325. C3 | #10601803 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×C5×#459 | 2 |
| #11751171 | 2 |
| #11751113 | 2 |
| #11751109 | 2 |
| #11746365 | 2 |
| #11746302 | 2 |
| #11746300 | 2 |
| #10601803 | 3 |
| #71010 | 5 |