Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
320 conjugacy classes of subgroups; only the 88 normal subgroups are shown.
This group has 320 conjugacy classes of subgroups — too many to draw. Only its 88 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. #11746948 | C2 | semidirect |
| 5. #11746302 | C2 | semidirect |
| 6. C3×#64706 | C2 | semidirect |
| 7. #11745869 | C2 | semidirect |
| 29. #64706 | D3 | semidirect |
| 91. C5×C3⋊C8 | SD16 | semidirect |
| 218. C3⋊C8 | #687 | semidirect |
| 249. C3×C5 | #1691 | semidirect |
| 289. C5 | #68450 | semidirect |
| 302. C3 | #10601665 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#4838 | 2 |
| #11747070 | 2 |
| #11746948 | 2 |
| #11746883 | 2 |
| #11746302 | 2 |
| C3×#64706 | 2 |
| #11745869 | 2 |
| #10601665 | 3 |
| #68450 | 5 |