Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
284 conjugacy classes of subgroups; only the 96 normal subgroups are shown.
This group has 284 conjugacy classes of subgroups — too many to draw. Only its 96 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. C5×#4682 | C2 | semidirect |
| 3. C4⋊(C3⋊#672) | C2 | semidirect |
| 4. #11745943 | C2 | semidirect |
| 33. C3×D40 | Q8 | semidirect |
| 36. #4682 | D5 | semidirect |
| 83. D40 | Dic6 | semidirect |
| 175. C3×C5 | #2226 | semidirect |
| 207. C5 | #70887 | semidirect |
| 218. C3 | #10602181 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#4682 | 2 |
| C3×C4×D40 | 2 |
| C4⋊(C3⋊#672) | 2 |
| #11745943 | 2 |
| #11745891 | 2 |
| #10602181 | 3 |
| #70887 | 5 |