Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Hall | C3×C5 ⋊ #356 |
| Sylow | C5 ⋊ #4548 |
| Sylow | C3 ⋊ #64929 |
120 conjugacy classes of subgroups.
| transitive degree | μt(G) = 240 |
Polycyclic presentation:
2^6,3,5|a^2=c,b^2=f,c^2=f,d^2=f,b^a=bd,d^a=def,e^a=ef,g^a=g^2,h^a=h^3,c^b=ce,d^b=df,d^c=df,h^c=h^457 conjugacy classes — view the full character table.
| maximal subgroup of | #14279373, #14279375, #14279384, … |
| maximal normal subgroup of | #14279373, #14279375, #14279384, … |
| maximal quotient of | #14277598, #14277690, #14278150, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 995);