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×#384 | C2 | semidirect |
| 5. #11751079 | C2 | semidirect |
| 6. #11751077 | C2 | semidirect |
| 7. #11751038 | C2 | semidirect |
| 18. #91765 | C4 | semidirect |
| 25. C5×#384 | D3 | semidirect |
| 41. C3×C42×C5 | C2×C4 | semidirect |
| 45. #6712 | C2×C4 | semidirect |
| 48. C3×#384 | D5 | semidirect |
| 111. C42×C5 | C4×D3 | semidirect |
| 122. #384 | D15 | semidirect |
| 146. C3×C42 | C4×D5 | semidirect |
| 233. C42 | C4×D15 | semidirect |
| 234. C3×C5 | #2383 | semidirect |
| 273. C5 | #74361 | semidirect |
| 286. C3 | #10606092 | 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×#384 | 2 |
| #11751091 | 2 |
| #11751090 | 2 |
| #11751079 | 2 |
| #11751077 | 2 |
| #11751038 | 2 |
| #10606092 | 3 |
| #74361 | 5 |