Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
292 conjugacy classes of subgroups; only the 92 normal subgroups are shown.
This group has 292 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 |
|---|---|---|
| 1. C3×#65196 | C2 | semidirect |
| 3. #11747527 | C2 | semidirect |
| 4. #11746332 | C2 | semidirect |
| 5. C5×#4515 | C2 | semidirect |
| 6. #11745886 | C2 | semidirect |
| 7. #11745872 | C2 | semidirect |
| 27. #65196 | D3 | semidirect |
| 56. #4515 | D5 | semidirect |
| 240. C3×C5 | #2170 | semidirect |
| 273. C5 | #71452 | semidirect |
| 282. C3 | #10599915 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×#65196 | 2 |
| #11748074 | 2 |
| #11747527 | 2 |
| #11746332 | 2 |
| C5×#4515 | 2 |
| #11745886 | 2 |
| #11745872 | 2 |
| #10599915 | 3 |
| #71452 | 5 |