Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
432 conjugacy classes of subgroups; only the 207 normal subgroups are shown.
This group has 432 conjugacy classes of subgroups — too many to draw. Only its 207 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. C3×C4×C5×C8 | C4 | semidirect |
| 28. C4×C5×C8 | Dic3 | semidirect |
| 43. C3×C4×C8 | Dic5 | semidirect |
| 83. C4×C8 | Dic15 | semidirect |
| 112. C3×C5 | #1835 | semidirect |
| 135. C5 | #69763 | semidirect |
| 143. C3 | #10600556 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C3×C4×C5×C8 | 2 |
| #11751037 | 2 |
| #11746372 | 2 |
| #10600556 | 3 |
| #69763 | 5 |