Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
332 conjugacy classes of subgroups; only the 98 normal subgroups are shown.
This group has 332 conjugacy classes of subgroups — too many to draw. Only its 98 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 |
|---|---|---|
| 3. Dic6×#168 | C2 | semidirect |
| 5. C5×#4456 | C2 | semidirect |
| 6. C3×#64675 | C2 | semidirect |
| 7. #11745867 | C2 | semidirect |
| 31. #64675 | D3 | semidirect |
| 56. #4456 | D5 | semidirect |
| 85. C5×Dic6 | M16 | semidirect |
| 214. Dic6 | #676 | semidirect |
| 252. C3×C5 | #1588 | semidirect |
| 293. C5 | #68088 | semidirect |
| 306. C3 | #10599016 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#6660 | 2 |
| #11747009 | 2 |
| Dic6×#168 | 2 |
| #11746280 | 2 |
| C5×#4456 | 2 |
| C3×#64675 | 2 |
| #11745867 | 2 |
| #10599016 | 3 |
| #68088 | 5 |