Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Hall | C3×C5 ⋊ #520 |
| Sylow | C5 ⋊ #5546 |
| Sylow | C3 ⋊ #65838 |
588 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
Polycyclic presentation:
2^6,3,5|b^2=f,d^2=e,c^a=cf,h^a=h^4,d^b=df,g^b=g^2126 conjugacy classes — view the full character table.
| maximal subgroup of | D5×#5546, #14479065, D3×#65838, … |
| maximal normal subgroup of | D5×#5546, #14479065, D3×#65838, … |
| maximal quotient of | #14319679, #14319680, #14319696, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 8479);