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×#3947 |
| Hall | C3×C5 ⋊ C2×#97 |
| Sylow | C5 ⋊ C2×C3×#97 |
292 conjugacy classes of subgroups.
| transitive degree | μt(G) = 960 |
312 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C3×#10598773, #14276721, C3×#10598774, … |
| maximal normal subgroup of | C3×#10598773, #14276721, C3×#10598774, … |
| maximal quotient of | C2×C3×#64675, C2×C3×#64674, C3×#10600518, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 4192);