Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
380 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 380 conjugacy classes of subgroups — too many to draw. Only its 141 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 |
|---|---|---|
| 3. #11746751 | C2 | semidirect |
| 4. #11746750 | C2 | semidirect |
| 5. C8×C3⋊#170 | C2 | semidirect |
| 181. C3×C5 | #1453 | semidirect |
| 210. C5 | #69848 | semidirect |
| 219. C3 | #10603863 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11752339 | 2 |
| C3×#64996 | 2 |
| #11746751 | 2 |
| #11746750 | 2 |
| C8×C3⋊#170 | 2 |
| #10603863 | 3 |
| #69848 | 5 |