Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
500 conjugacy classes of subgroups; only the 90 normal subgroups are shown.
This group has 500 conjugacy classes of subgroups — too many to draw. Only its 90 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. #11750795 | C2 | semidirect |
| 3. #11747095 | C2 | semidirect |
| 4. #11746964 | C2 | semidirect |
| 5. C5×#4459 | C2 | semidirect |
| 6. C3×#64676 | C2 | semidirect |
| 7. #11745854 | C2 | semidirect |
| 33. #64676 | D3 | semidirect |
| 65. #4459 | D5 | semidirect |
| 321. C3×C5 | #1641 | semidirect |
| 376. C5 | #68263 | semidirect |
| 393. C3 | #10598983 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11752538 | 2 |
| #11750795 | 2 |
| #11747095 | 2 |
| #11746964 | 2 |
| C5×#4459 | 2 |
| C3×#64676 | 2 |
| #11745854 | 2 |
| #10598983 | 3 |
| #68263 | 5 |