Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C16 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Hall | C3×C5 ⋊ C4⋊C16 |
| Sylow | C5 ⋊ C4⋊(C3⋊C16) |
| Sylow | C3 ⋊ #64888 |
100 conjugacy classes of subgroups.
| transitive degree | μt(G) = 960 |
Polycyclic presentation:
2^6,3,5|a^2=c,b^2=de,c^2=e,e^2=f,b^a=bd,g^a=g^2,h^a=h^3,h^c=h^4120 conjugacy classes — view the full character table.
| maximal subgroup of | #14278434, #14278436, #14278443, … |
| maximal normal subgroup of | #14278434, #14278436, #14278443, … |
| maximal quotient of | #14278578, #14278627, #14278689, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 954);