Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
688 conjugacy classes of subgroups; only the 108 normal subgroups are shown.
This group has 688 conjugacy classes of subgroups — too many to draw. Only its 108 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. #11750938 | C2 | semidirect |
| 3. #11746859 | C2 | semidirect |
| 4. C5×#4485 | C2 | semidirect |
| 5. C3×#64705 | C2 | semidirect |
| 6. #11745853 | C2 | semidirect |
| 7. #11745852 | C2 | semidirect |
| 19. C3×C5×C4⋊C8 | C22 | semidirect |
| 21. C4⋊(C3⋊#168) | C22 | semidirect |
| 22. C5×C4⋊(C3⋊C8) | C22 | semidirect |
| 23. C3×C4⋊#168 | C22 | semidirect |
| 33. #64705 | D3 | semidirect |
| 67. #4485 | D5 | semidirect |
| 79. C5×C4⋊C8 | C2×D3 | semidirect |
| 84. C4⋊#168 | C2×D3 | semidirect |
| 131. C3×C4⋊C8 | C2×D5 | semidirect |
| 136. C4⋊(C3⋊C8) | C2×D5 | semidirect |
| 265. C4⋊C8 | D3×D5 | semidirect |
| 354. C3×C5 | #1545 | semidirect |
| 420. C5 | #68383 | semidirect |
| 440. C3 | #10599176 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11752750 | 2 |
| #11750938 | 2 |
| #11746859 | 2 |
| C5×#4485 | 2 |
| C3×#64705 | 2 |
| #11745853 | 2 |
| #11745852 | 2 |
| #10599176 | 3 |
| #68383 | 5 |