Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
532 conjugacy classes of subgroups; only the 96 normal subgroups are shown.
This group has 532 conjugacy classes of subgroups — too many to draw. Only its 96 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. #11749173 | C2 | semidirect |
| 3. #11749126 | C2 | semidirect |
| 4. #11746357 | C2 | semidirect |
| 5. C3×#64756 | C2 | semidirect |
| 6. #11745997 | C2 | semidirect |
| 7. #11745996 | C2 | semidirect |
| 9. C22×C5×#67 | C4 | semidirect |
| 12. C5×#953 | C4 | semidirect |
| 18. C5×#882 | C4 | semidirect |
| 19. C5×#877 | C4 | semidirect |
| 35. #64756 | D3 | semidirect |
| 134. C22×#67 | Dic5 | semidirect |
| 137. #953 | Dic5 | semidirect |
| 144. #882 | Dic5 | semidirect |
| 146. #877 | Dic5 | semidirect |
| 411. C3×C5 | #2122 | semidirect |
| 486. C5 | #69137 | semidirect |
| 511. C3 | #10602652 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#5592 | 2 |
| #11749173 | 2 |
| #11749126 | 2 |
| #11746357 | 2 |
| C3×#64756 | 2 |
| #11745997 | 2 |
| #11745996 | 2 |
| #10602652 | 3 |
| #69137 | 5 |