Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
460 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 460 conjugacy classes of subgroups — too many to draw. Only its 85 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. C2×#91801 | C2 | semidirect |
| 2. C2×#91110 | C2 | semidirect |
| 3. C2×#91084 | C2 | semidirect |
| 4. #11750984 | C2 | semidirect |
| 5. C3×C5×#357 | C2 | semidirect |
| 6. #11746328 | C2 | semidirect |
| 7. #11746313 | C2 | semidirect |
| 29. C5×#357 | D3 | semidirect |
| 42. C3×C5×D8 | D4 | semidirect |
| 49. Dic60 | D4 | semidirect |
| 60. C3×#357 | D5 | semidirect |
| 125. C5×D8 | D12 | semidirect |
| 144. #357 | D15 | semidirect |
| 171. C3×D8 | D20 | semidirect |
| 278. D8 | D60 | semidirect |
| 287. C3×C5 | #2186 | semidirect |
| 336. C5 | #69192 | semidirect |
| 352. C3 | #10599985 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#91801 | 2 |
| C2×#91110 | 2 |
| C2×#91084 | 2 |
| #11750984 | 2 |
| C3×C5×#357 | 2 |
| #11746328 | 2 |
| #11746313 | 2 |
| #10599985 | 3 |
| #69192 | 5 |