Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C16 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Hall | C3×C5 ⋊ M64 |
| Sylow | C5 ⋊ #4499 |
| Sylow | C3 ⋊ #64719 |
64 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
Polycyclic presentation:
2^6,3,5|a^2=c,c^2=d,d^2=e,e^2=f,b^a=bf,g^a=g^2,h^a=h^4264 conjugacy classes — view the full character table.
| maximal subgroup of | #14279220, #14279223, #14279232, … |
| maximal normal subgroup of | #14279220, #14279223, #14279232, … |
| maximal quotient of | #14279204, #14279246, C4⋊(C3⋊#3926), … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 515);