Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
952 conjugacy classes of subgroups; only the 221 normal subgroups are shown.
This group has 952 conjugacy classes of subgroups — too many to draw. Only its 221 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 |
|---|---|---|
| 10. C3×C5×#95 | C4 | semidirect |
| 11. C3×#3963 | C4 | semidirect |
| 43. C5×#95 | Dic3 | semidirect |
| 44. #3963 | Dic3 | semidirect |
| 77. C3×#95 | AGL(1,𝔽5) | semidirect |
| 171. #95 | ΓL(1,𝔽16) | semidirect |
| 242. C3×C5 | #1443 | semidirect |
| 301. C5 | #69416 | semidirect |
| 319. C3 | #10603803 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#91235 | 2 |
| C3×D5×#95 | 2 |
| #10603803 | 3 |
| #69416 | 5 |