Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
452 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 452 conjugacy classes of subgroups — too many to draw. Only its 87 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×Q16×D15 | C2 | semidirect |
| 2. C2×#91112 | C2 | semidirect |
| 3. C2×#91084 | C2 | semidirect |
| 5. C3×C5×#358 | C2 | semidirect |
| 6. #11746328 | C2 | semidirect |
| 7. #11746313 | C2 | semidirect |
| 29. C5×#358 | D3 | semidirect |
| 42. C3×C5×Q16 | D4 | semidirect |
| 49. Dic60 | D4 | semidirect |
| 60. C3×#358 | D5 | semidirect |
| 125. C5×Q16 | D12 | semidirect |
| 144. #358 | D15 | semidirect |
| 152. C2×D15 | SD32 | semidirect |
| 169. C3×Q16 | D20 | semidirect |
| 271. Q16 | D60 | semidirect |
| 282. C3×C5 | #2185 | semidirect |
| 327. C5 | #69223 | semidirect |
| 341. C3 | #10600016 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×Q16×D15 | 2 |
| C2×#91112 | 2 |
| C2×#91084 | 2 |
| #11750984 | 2 |
| C3×C5×#358 | 2 |
| #11746328 | 2 |
| #11746313 | 2 |
| #10600016 | 3 |
| #69223 | 5 |