Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
424 conjugacy classes of subgroups; only the 175 normal subgroups are shown.
This group has 424 conjugacy classes of subgroups — too many to draw. Only its 175 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×#322 | C2 | semidirect |
| 4. #11746276 | C2 | semidirect |
| 5. C8×C3⋊#168 | C2 | semidirect |
| 19. C5×#322 | D3 | semidirect |
| 31. C8×D15 | C8 | semidirect |
| 34. C3×#322 | D5 | semidirect |
| 80. #322 | D15 | semidirect |
| 150. C3×C5 | #1450 | semidirect |
| 175. C5 | #68068 | semidirect |
| 183. C3 | #10598861 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11750786 | 2 |
| C4×C8×D15 | 2 |
| C3×C5×#322 | 2 |
| #11746276 | 2 |
| C8×C3⋊#168 | 2 |
| #10598861 | 3 |
| #68068 | 5 |