Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
256 conjugacy classes of subgroups; only the 88 normal subgroups are shown.
This group has 256 conjugacy classes of subgroups — too many to draw. Only its 88 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 |
|---|---|---|
| 8. #91225 | C4 | semidirect |
| 11. C3×#3990 | C4 | semidirect |
| 44. #3990 | Dic3 | semidirect |
| 186. C3×C5 | #1389 | semidirect |
| 219. C5 | #67822 | semidirect |
| 230. C3 | #10598606 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D5⋊#819 | 2 |
| C3×D5⋊M32 | 2 |
| #11747671 | 2 |
| #10598606 | 3 |
| #67822 | 5 |