Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
332 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 332 conjugacy classes of subgroups — too many to draw. Only its 101 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. #11750931 | C2 | semidirect |
| 4. C3×C5×#334 | C2 | semidirect |
| 5. #11746305 | C2 | semidirect |
| 7. #11746275 | C2 | semidirect |
| 28. C5×#334 | D3 | semidirect |
| 53. C3×#334 | D5 | semidirect |
| 85. Dic30 | M16 | semidirect |
| 92. C3⋊#168 | SD16 | semidirect |
| 129. #334 | D15 | semidirect |
| 252. C3×C5 | #1583 | semidirect |
| 293. C5 | #68520 | semidirect |
| 306. C3 | #10599313 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11750939 | 2 |
| #11750931 | 2 |
| C4×#6706 | 2 |
| C3×C5×#334 | 2 |
| #11746305 | 2 |
| #11746304 | 2 |
| #11746275 | 2 |
| #10599313 | 3 |
| #68520 | 5 |