Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
208 conjugacy classes of subgroups; only the 66 normal subgroups are shown.
This group has 208 conjugacy classes of subgroups — too many to draw. Only its 66 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 |
|---|---|---|
| 5. C2×C3×C5×Q16 | C4 | semidirect |
| 9. C3×C5×#106 | C4 | semidirect |
| 12. #67780 | C5 | direct (N × H) |
| 32. C2×C5×Q16 | Dic3 | semidirect |
| 37. C5×#106 | Dic3 | semidirect |
| 52. C2×C3×Q16 | C4×C5 | semidirect |
| 56. C3×#106 | C4×C5 | semidirect |
| 109. C2×Q16 | C5×Dic3 | semidirect |
| 114. #106 | C5×Dic3 | semidirect |
| 153. C3×C5 | #1340 | semidirect |
| 181. C5 | #67780 | direct (N × H) |
| 191. C3 | C5×#1340 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×C5×#470 | 2 |
| C5×#4557 | 2 |
| C5×#4553 | 2 |
| C5×#1340 | 3 |
| #67780 | 5 |