Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
492 conjugacy classes of subgroups; only the 104 normal subgroups are shown.
This group has 492 conjugacy classes of subgroups — too many to draw. Only its 104 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. #11752339 | C2 | semidirect |
| 3. C3×#65683 | C2 | semidirect |
| 4. #11746494 | C2 | semidirect |
| 5. #11746488 | C2 | semidirect |
| 26. #65683 | D3 | semidirect |
| 314. C3×C5 | #1488 | semidirect |
| 367. C5 | #70798 | semidirect |
| 385. C3 | #10604405 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#6772 | 2 |
| #11752339 | 2 |
| C3×#65683 | 2 |
| #11746494 | 2 |
| #11746488 | 2 |
| #10604405 | 3 |
| #70798 | 5 |