Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C16 · Schur multiplier (H2) = C2 |
| unambiguous semidirect product | Dic3⋊#674 |
| Hall | C3×C5 ⋊ C4⋊C16 |
| Sylow | C5 ⋊ Dic3⋊C16 |
| Sylow | C3 ⋊ C4⋊#674 |
100 conjugacy classes of subgroups.
| transitive degree | μt(G) = 960 |
Polycyclic presentation:
2^6,3,5|a^2=c,b^2=d,c^2=e,e^2=f,b^a=bd,h^a=h^2,g^b=g^2,h^c=h^496 conjugacy classes — view the full character table.
| maximal subgroup of | D3×C4⋊#674, C2×Dic3⋊#674, #14314320, … |
| maximal normal subgroup of | D3×C4⋊#674, C2×Dic3⋊#674, #14314320, … |
| maximal quotient of | #14278582, #14278631, #14278695, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 757);