Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
320 conjugacy classes of subgroups; only the 104 normal subgroups are shown.
This group has 320 conjugacy classes of subgroups — too many to draw. Only its 104 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 |
|---|---|---|
| 29. C5×Dic12 | C8 | semidirect |
| 105. Dic12 | #170 | semidirect |
| 161. C3×C5 | #1579 | semidirect |
| 187. C5 | #68517 | semidirect |
| 195. C3 | #10604838 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11751755 | 2 |
| Dic5×Dic12 | 2 |
| #11746750 | 2 |
| C3×#64881 | 2 |
| #11746492 | 2 |
| #10604838 | 3 |
| #68517 | 5 |