Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
416 conjugacy classes of subgroups; only the 114 normal subgroups are shown.
This group has 416 conjugacy classes of subgroups — too many to draw. Only its 114 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 |
|---|---|---|
| 1. C3×C5×#487 | C2 | semidirect |
| 2. C3×#65377 | C2 | semidirect |
| 3. C3×#65377 | C2 | semidirect |
| 4. C3×#65377 | C2 | semidirect |
| 5. C3×#65374 | C2 | semidirect |
| 7. C3×#64674 | C2 | semidirect |
| 8. #10602011 | C3 | direct (N × H) |
| 23. C5×#487 | C2×C3 | semidirect |
| 24. #65377 | C2×C3 | semidirect |
| 25. #65377 | C2×C3 | semidirect |
| 26. #65377 | C2×C3 | semidirect |
| 27. #65374 | C2×C3 | semidirect |
| 29. #64674 | C2×C3 | semidirect |
| 50. C3×#487 | D5 | semidirect |
| 120. #487 | C3×D5 | semidirect |
| 239. C3×C5 | #1717 | semidirect |
| 280. C5 | C3×#1717 | semidirect |
| 293. C3 | #10602011 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×C5×#487 | 2 |
| C3×#65377 | 2 |
| C3×#65374 | 2 |
| C3×#64984 | 2 |
| C3×#64674 | 2 |
| #10602011 | 3 |
| C3×#1717 | 5 |