Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
500 conjugacy classes of subgroups; only the 94 normal subgroups are shown.
This group has 500 conjugacy classes of subgroups — too many to draw. Only its 94 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. D12×Dic10 | C2 | semidirect |
| 2. #11751171 | C2 | semidirect |
| 4. C3×#65364 | C2 | semidirect |
| 5. #11745860 | C2 | semidirect |
| 6. #11745840 | C2 | semidirect |
| 7. #11745836 | C2 | semidirect |
| 29. #65364 | D3 | semidirect |
| 100. C5×D12 | SD16 | semidirect |
| 106. C3×Dic10 | D8 | semidirect |
| 227. Dic10 | #213 | semidirect |
| 270. D12 | #687 | semidirect |
| 322. C3×C5 | #1627 | semidirect |
| 376. C5 | #71035 | semidirect |
| 393. C3 | #10601807 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D12×Dic10 | 2 |
| #11751171 | 2 |
| C5×#5072 | 2 |
| C3×#65364 | 2 |
| #11745860 | 2 |
| #11745840 | 2 |
| #11745836 | 2 |
| #10601807 | 3 |
| #71035 | 5 |