Finite Group DatabasebetaFinite Group Databasebeta| order | 1920 |
| isoclinism | isoclinic class of D3×D5 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C82 · Schur multiplier (H2) = C22×C8 |
| direct product | C8×#6648 |
| derived, Hall | C3×C5 ⋊ C2×C82 |
| Sylow | C5 ⋊ D3×C82 |
| Sylow | C3 ⋊ C82×D5 |
560 conjugacy classes of subgroups; only the 236 normal subgroups are shown.
This group has 560 conjugacy classes of subgroups — too many to draw. Only its 236 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 960 |
384 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1920, 6012);