Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
268 conjugacy classes of subgroups; only the 76 normal subgroups are shown.
This group has 268 conjugacy classes of subgroups — too many to draw. Only its 76 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. #11751226 | C2 | semidirect |
| 3. C3×#64773 | C2 | semidirect |
| 4. #11745933 | C2 | semidirect |
| 5. #11745918 | C2 | semidirect |
| 20. #64773 | D3 | semidirect |
| 175. C3×C5 | #2238 | semidirect |
| 207. C5 | #69116 | semidirect |
| 218. C3 | #10601881 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11751226 | 2 |
| C5×#5135 | 2 |
| C3×#64773 | 2 |
| #11745933 | 2 |
| #11745918 | 2 |
| #10601881 | 3 |
| #69116 | 5 |