Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
456 conjugacy classes of subgroups; only the 94 normal subgroups are shown.
This group has 456 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. Dic6×Dic10 | C2 | semidirect |
| 5. #11746302 | C2 | semidirect |
| 6. C3×#64704 | C2 | semidirect |
| 7. #11745843 | C2 | semidirect |
| 32. #64704 | D3 | semidirect |
| 98. C5×Dic6 | SD16 | semidirect |
| 102. C3×Dic10 | SD16 | semidirect |
| 214. Dic10 | #204 | semidirect |
| 258. Dic6 | #687 | semidirect |
| 301. C3×C5 | #1623 | semidirect |
| 347. C5 | #68264 | semidirect |
| 362. C3 | #10601826 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| Dic6×Dic10 | 2 |
| C5×#4848 | 2 |
| #11747066 | 2 |
| #11747060 | 2 |
| #11746302 | 2 |
| C3×#64704 | 2 |
| #11745843 | 2 |
| #10601826 | 3 |
| #68264 | 5 |