Finite Group DatabasebetaFinite Group DatabasebetaOrder 21120.
144 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 144 conjugacy classes of subgroups — too many to draw. Only its 59 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 |
|---|---|---|
| 52. C3×C5×C11 | Q128 | semidirect |
| 72. C5×C11 | Dic96 | semidirect |
| 79. C3×C11 | Dic160 | semidirect |
| 90. C3×C5 | Dic352 | semidirect |
| 93. C11 | Dic480 | semidirect |
| 98. C5 | Dic1056 | semidirect |
| 101. C3 | Dic1760 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| Dic2640 | 2 |
| Dic1760 | 3 |
| Dic1056 | 5 |
| C3×C5×C11×C64 | 2 |
| Dic480 | 11 |