Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Hall | C3×C5 ⋊ #364 |
| Sylow | C5 ⋊ #4463 |
| Sylow | C3 ⋊ #64683 |
92 conjugacy classes of subgroups.
| transitive degree | μt(G) = 240 |
Polycyclic presentation:
2^6,3,5|a^2=c,b^2=d,c^2=e,d^2=f,e^2=f,b^a=bd,d^a=df,g^a=g^2,h^a=h^4252 conjugacy classes — view the full character table.
| maximal subgroup of | #14277892, #14277895, #14277903, … |
| maximal normal subgroup of | #14277892, #14277895, #14277903, … |
| maximal quotient of | #14278574, #14278623, #14278721, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 479);