Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
336 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 336 conjugacy classes of subgroups — too many to draw. Only its 115 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 |
|---|---|---|
| 3. C3×C5×#334 | C2 | semidirect |
| 4. #11746300 | C2 | semidirect |
| 5. #11746278 | C2 | semidirect |
| 21. C5×#334 | D3 | semidirect |
| 41. C3×#334 | D5 | semidirect |
| 103. #334 | D15 | semidirect |
| 205. C3×C5 | #1568 | semidirect |
| 242. C5 | #68530 | semidirect |
| 254. C3 | #10599323 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11750936 | 2 |
| C4×C8×D15 | 2 |
| C3×C5×#334 | 2 |
| #11746300 | 2 |
| #11746278 | 2 |
| #10599323 | 3 |
| #68530 | 5 |