Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
352 conjugacy classes of subgroups; only the 108 normal subgroups are shown.
This group has 352 conjugacy classes of subgroups — too many to draw. Only its 108 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 |
|---|---|---|
| 81. C3×#168 | Q16 | semidirect |
| 157. #168 | Dic12 | semidirect |
| 213. C3×C5 | #1723 | semidirect |
| 242. C5 | #68099 | semidirect |
| 251. C3 | #10602020 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11750783 | 2 |
| C5×#4681 | 2 |
| #11747096 | 2 |
| #11746955 | 2 |
| #11746941 | 2 |
| #11746930 | 2 |
| C3×#64674 | 2 |
| #10602020 | 3 |
| #68099 | 5 |