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 |
| 3. #11747060 | C2 | semidirect |
| 4. #11746906 | C2 | semidirect |
| 5. #11746307 | C2 | semidirect |
| 6. C3×#64704 | C2 | semidirect |
| 7. #11745837 | C2 | semidirect |
| 33. #64704 | D3 | semidirect |
| 100. C5×D12 | SD16 | semidirect |
| 106. C3×Dic10 | D8 | semidirect |
| 227. Dic10 | D24 | semidirect |
| 270. D12 | #687 | semidirect |
| 322. C3×C5 | #1627 | semidirect |
| 376. C5 | #68266 | 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 |
| C5×#4843 | 2 |
| #11747060 | 2 |
| #11746906 | 2 |
| #11746307 | 2 |
| C3×#64704 | 2 |
| #11745837 | 2 |
| #10601807 | 3 |
| #68266 | 5 |