Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
320 conjugacy classes of subgroups; only the 142 normal subgroups are shown.
This group has 320 conjugacy classes of subgroups — too many to draw. Only its 142 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 |
|---|---|---|
| 4. Dic3⋊#674 | C2 | semidirect |
| 151. C3×C5 | #2151 | semidirect |
| 175. C5 | #71401 | semidirect |
| 183. C3 | #10604367 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#91227 | 2 |
| C22×C3×#674 | 2 |
| #11748323 | 2 |
| Dic3⋊#674 | 2 |
| #10604367 | 3 |
| #71401 | 5 |