Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C16 · Schur multiplier (H2) = C2 |
| unambiguous semidirect product | C4⋊(C3⋊#672) |
| Hall | C3×C5 ⋊ C4⋊C16 |
| Sylow | C5 ⋊ C4⋊(C3⋊C16) |
| Sylow | C3 ⋊ C4⋊#672 |
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,g^a=g^2,h^a=h^4264 conjugacy classes — view the full character table.
| maximal subgroup of | D4⋊(C3⋊#672), #14277757, #14277765, … |
| maximal normal subgroup of | D4⋊(C3⋊#672), #14277757, #14277765, … |
| maximal quotient of | #14278574, #14278623, #14278683, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 478);