Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
424 conjugacy classes of subgroups; only the 92 normal subgroups are shown.
This group has 424 conjugacy classes of subgroups — too many to draw. Only its 92 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. #11747094 | C2 | semidirect |
| 4. #11746918 | C2 | semidirect |
| 6. #11745841 | C2 | semidirect |
| 7. #11745841 | C2 | semidirect |
| 296. C3×C5 | #1640 | semidirect |
| 343. C5 | #71945 | semidirect |
| 358. C3 | #10601999 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×#66047 | 2 |
| C5×#5070 | 2 |
| #11747094 | 2 |
| #11746918 | 2 |
| #11746365 | 2 |
| #11745841 | 2 |
| #10601999 | 3 |
| #71945 | 5 |