Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
912 conjugacy classes of subgroups; only the 255 normal subgroups are shown.
This group has 912 conjugacy classes of subgroups — too many to draw. Only its 255 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. C3×C5×#383 | C2 | semidirect |
| 3. #11751036 | C2 | semidirect |
| 6. #11750756 | C2 | semidirect |
| 7. #11750748 | C2 | semidirect |
| 18. #91765 | C4 | semidirect |
| 25. C5×#383 | D3 | semidirect |
| 39. C3×C42×C5 | C2×C4 | semidirect |
| 45. #6712 | C2×C4 | semidirect |
| 48. C3×#383 | D5 | semidirect |
| 109. C42×C5 | C4×D3 | semidirect |
| 123. #383 | D15 | semidirect |
| 144. C3×C42 | C4×D5 | semidirect |
| 233. C42 | C4×D15 | semidirect |
| 234. C3×C5 | #2383 | semidirect |
| 273. C5 | #74299 | semidirect |
| 286. C3 | #10606030 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#91765 | 2 |
| C3×C5×#383 | 2 |
| #11751036 | 2 |
| #11750771 | 2 |
| #11750769 | 2 |
| #11750756 | 2 |
| #11750748 | 2 |
| #10606030 | 3 |
| #74299 | 5 |