Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
400 conjugacy classes of subgroups; only the 147 normal subgroups are shown.
This group has 400 conjugacy classes of subgroups — too many to draw. Only its 147 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 |
|---|---|---|
| 12. #91099 | C4 | semidirect |
| 13. C8×Dic15 | C4 | semidirect |
| 14. #91087 | C4 | semidirect |
| 15. C4×C3⋊#168 | C4 | semidirect |
| 179. C3×C5 | #1747 | semidirect |
| 206. C5 | #68697 | semidirect |
| 215. C3 | #10599490 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11751223 | 2 |
| #11751098 | 2 |
| C3×C5×H(3,ℤ/4) | 2 |
| #11746381 | 2 |
| #11746352 | 2 |
| #10599490 | 3 |
| #68697 | 5 |