Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
304 conjugacy classes of subgroups; only the 112 normal subgroups are shown.
This group has 304 conjugacy classes of subgroups — too many to draw. Only its 112 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 |
|---|---|---|
| 4. #10598529 | C3 | direct (N × H) |
| 26. C3×D5⋊C8 | C8 | semidirect |
| 80. D5⋊C8 | C3×C8 | semidirect |
| 183. C3×C5 | #1275 | semidirect |
| 218. C5 | C3×#1275 | semidirect |
| 230. C3 | #10598529 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×#65678 | 2 |
| C3×#65676 | 2 |
| C3×#64974 | 2 |
| #10598529 | 3 |
| C3×#1275 | 5 |