Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
528 conjugacy classes of subgroups; only the 108 normal subgroups are shown.
This group has 528 conjugacy classes of subgroups — too many to draw. Only its 108 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. #11751901 | C2 | semidirect |
| 3. #11751812 | C2 | semidirect |
| 4. #11746743 | C2 | semidirect |
| 5. C3×#64872 | C2 | semidirect |
| 6. #11746489 | C2 | semidirect |
| 7. #11746488 | C2 | semidirect |
| 35. #64872 | D3 | semidirect |
| 46. #6768 | C8 | semidirect |
| 104. C5×D12 | C2×C8 | semidirect |
| 110. C3×Dic10 | C2×C8 | semidirect |
| 250. Dic10 | D3×C8 | semidirect |
| 294. D12 | D5⋊C8 | semidirect |
| 356. C3×C5 | #1477 | semidirect |
| 414. C5 | #68230 | semidirect |
| 433. C3 | #10604402 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11753406 | 2 |
| #11751901 | 2 |
| #11751812 | 2 |
| #11746743 | 2 |
| C3×#64872 | 2 |
| #11746489 | 2 |
| #11746488 | 2 |
| #10604402 | 3 |
| #68230 | 5 |