Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
220 conjugacy classes of subgroups; only the 52 normal subgroups are shown.
This group has 220 conjugacy classes of subgroups — too many to draw. Only its 52 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 |
|---|---|---|
| 2. C3×#64897 | C2 | semidirect |
| 3. C3×#64891 | C2 | semidirect |
| 4. #10598601 | C3 | direct (N × H) |
| 14. #64897 | C2×C3 | semidirect |
| 15. #64891 | C2×C3 | semidirect |
| 159. C3×C5 | #1341 | semidirect |
| 191. C5 | C3×#1341 | semidirect |
| 202. C3 | #10598601 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×#65154 | 2 |
| C3×#64897 | 2 |
| C3×#64891 | 2 |
| #10598601 | 3 |
| C3×#1341 | 5 |