Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
336 conjugacy classes of subgroups; only the 88 normal subgroups are shown.
This group has 336 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 |
|---|---|---|
| 2. C3×#65383 | C2 | semidirect |
| 4. #11746861 | C2 | semidirect |
| 5. #11746368 | C2 | semidirect |
| 6. #11745869 | C2 | semidirect |
| 26. #65383 | D3 | semidirect |
| 94. C5×C3⋊C8 | SD16 | semidirect |
| 227. C3⋊C8 | #687 | semidirect |
| 259. C3×C5 | #1686 | semidirect |
| 301. C5 | #71120 | semidirect |
| 314. C3 | #10602066 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#5085 | 2 |
| C3×#65383 | 2 |
| #11747060 | 2 |
| #11746861 | 2 |
| #11746368 | 2 |
| #11745869 | 2 |
| #11745853 | 2 |
| #10602066 | 3 |
| #71120 | 5 |