Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
448 conjugacy classes of subgroups; only the 106 normal subgroups are shown.
This group has 448 conjugacy classes of subgroups — too many to draw. Only its 106 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. #11751177 | C2 | semidirect |
| 3. C3×#65359 | C2 | semidirect |
| 4. #11747081 | C2 | semidirect |
| 5. #11746960 | C2 | semidirect |
| 6. #11746906 | C2 | semidirect |
| 7. C3⋊C8×#168 | C2 | semidirect |
| 27. #65359 | D3 | semidirect |
| 85. C3⋊#168 | D8 | semidirect |
| 87. C5×C3⋊C8 | SD16 | semidirect |
| 211. C3⋊C8 | #687 | semidirect |
| 243. C3×C5 | #1706 | semidirect |
| 284. C5 | #71180 | semidirect |
| 297. C3 | #10602067 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11751177 | 2 |
| C5×#5073 | 2 |
| C3×#65359 | 2 |
| #11747081 | 2 |
| #11746960 | 2 |
| #11746906 | 2 |
| C3⋊C8×#168 | 2 |
| #10602067 | 3 |
| #71180 | 5 |