Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| isoclinism | isoclinic class of Dic10 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C3×C42 · Schur multiplier (H2) = C23 |
| direct product | C2×C3×#3935 |
| Hall | C3×C5 ⋊ C2×#97 |
| Sylow | C5 ⋊ C2×C3×#97 |
292 conjugacy classes of subgroups; only the 206 normal subgroups are shown.
This group has 292 conjugacy classes of subgroups — too many to draw. Only its 206 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 960 |
312 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C3×#10598231, #14276722, C3×#10598232, … |
| maximal normal subgroup of | C3×#10598231, #14276722, C3×#10598232, … |
| maximal quotient of | C2×C3×#64674, C3×#10600640, C3×#10600519, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 4013);