Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C3×C8 · Schur multiplier (H2) = C22 |
| direct product | C3×Q8×#170 |
| Hall | C3×C5 ⋊ C8×Q8 |
| Sylow | C5 ⋊ C3×C8×Q8 |
204 conjugacy classes of subgroups.
| transitive degree | μt(G) = 960 |
150 conjugacy classes — view the full character table.
| maximal subgroup of | C3×#10603967, C3×SD16×#170, #14286195, … |
| maximal normal subgroup of | C3×#10603967, C3×SD16×#170, #14286195, … |
| maximal quotient of | C3×C4⋊C4×#170, C3×#10604321, C3×#10604326, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 6514);