Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
308 conjugacy classes of subgroups; only the 82 normal subgroups are shown.
This group has 308 conjugacy classes of subgroups — too many to draw. Only its 82 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 |
|---|---|---|
| 135. C5×Dic3 | Q32 | semidirect |
| 233. C3×C5 | #2209 | semidirect |
| 242. Dic3 | Dic40 | semidirect |
| 265. C5 | #69236 | semidirect |
| 275. C3 | #10600086 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×Dic120 | 2 |
| #11748033 | 2 |
| #11747873 | 2 |
| C2×#90947 | 2 |
| C5×Dic3⋊C16 | 2 |
| C3×#64723 | 2 |
| #11745901 | 2 |
| #10600086 | 3 |
| #69236 | 5 |