Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C42 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Hall | C3×C5 ⋊ #347 |
| Sylow | C5 ⋊ #4466 |
| Sylow | C3 ⋊ #64732 |
92 conjugacy classes of subgroups.
| transitive degree | μt(G) = 240 |
Polycyclic presentation:
2^6,3,5|a^2=c,b^2=d,d^2=e,e^2=f,b^a=be,d^a=df,h^a=h^4,c^b=cf,g^b=g^2114 conjugacy classes — view the full character table.
| maximal subgroup of | #14312721, D3×#64732, D5×#4466, … |
| maximal normal subgroup of | #14312721, D3×#64732, D5×#4466, … |
| maximal quotient of | #14277502, #14277507, #14278709, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 71);