Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
448 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 448 conjugacy classes of subgroups — too many to draw. Only its 119 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. C3×C5×#492 | C2 | semidirect |
| 2. #11751189 | C2 | semidirect |
| 3. #11751179 | C2 | semidirect |
| 5. #11751171 | C2 | semidirect |
| 6. #11750794 | C2 | semidirect |
| 7. C8×C3⋊#168 | C2 | semidirect |
| 23. C5×#492 | D3 | semidirect |
| 49. C3×#492 | D5 | semidirect |
| 85. C3×C5×C8 | D8 | semidirect |
| 87. C3⋊#168 | SD16 | semidirect |
| 123. #492 | D15 | semidirect |
| 173. C5×C8 | #213 | semidirect |
| 209. C3×C8 | #686 | semidirect |
| 243. C3×C5 | #1706 | semidirect |
| 278. C8 | #6715 | semidirect |
| 284. C5 | #71255 | semidirect |
| 297. C3 | #10602048 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×C5×#492 | 2 |
| #11751189 | 2 |
| #11751179 | 2 |
| #11751174 | 2 |
| #11751171 | 2 |
| #11750794 | 2 |
| C8×C3⋊#168 | 2 |
| #10602048 | 3 |
| #71255 | 5 |