Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| isoclinism | isoclinic class of Dic10 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C3×C42 · Schur multiplier (H2) = C22×C4 |
| direct product | C3×C4×#683 |
| Hall | C3×C5 ⋊ C4×C4⋊C4 |
| Sylow | C5 ⋊ C3×C4×C4⋊C4 |
388 conjugacy classes of subgroups.
| transitive degree | μt(G) = 960 |
312 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C3×#10598697, #14276939, C3×#10599444, … |
| maximal normal subgroup of | C3×#10598697, #14276939, C3×#10599444, … |
| maximal quotient of | C3×C4×#3963, C3×#10600196, C3×#10600197, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 4023);