Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
688 conjugacy classes of subgroups; only the 98 normal subgroups are shown.
This group has 688 conjugacy classes of subgroups — too many to draw. Only its 98 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. #11751920 | C2 | semidirect |
| 3. #11751796 | C2 | semidirect |
| 4. #11746796 | C2 | semidirect |
| 5. C3×#64925 | C2 | semidirect |
| 6. #11746508 | C2 | semidirect |
| 7. #11746508 | C2 | semidirect |
| 21. #91233 | C22 | semidirect |
| 22. #91233 | C22 | semidirect |
| 23. C3×#4004 | C22 | semidirect |
| 24. C3×#4004 | C22 | semidirect |
| 35. #64925 | D3 | semidirect |
| 92. #4004 | C2×D3 | semidirect |
| 93. #4004 | C2×D3 | semidirect |
| 436. C3×C5 | #1545 | semidirect |
| 523. C5 | #68383 | semidirect |
| 550. C3 | #10604926 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D3×#4086 | 2 |
| #11751920 | 2 |
| #11751796 | 2 |
| #11746796 | 2 |
| C3×#64925 | 2 |
| #11746508 | 2 |
| #10604926 | 3 |
| #68383 | 5 |