Finite Group Databasebeta

← Group #72213856

Character table — Group #72213856

Order 1536.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size1333336666666666666666666666666666666666666666164848484848256256256256
order12222244444444444444444444444444444444444444442444443366
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111−1−i32−1+i32−1−i32−1+i32
χ31111111111111111111111111111111111111111111111111111−1+i32−1−i32−1+i32−1−i32
χ41111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1
χ51111111111111111111111111111111111111111111111-1-1-1-1-1-1−1−i32−1+i321+i321−i32
χ61111111111111111111111111111111111111111111111-1-1-1-1-1-1−1+i32−1−i321−i321+i32
χ733333333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-133-1-1-1-10000
χ833333333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-3-311110000
χ9333333-1-1-1-1-1-1-1-133333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-13-13-1-1-10000
χ10333333-1-1-1-1-1-1-1-133333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-31-31110000
χ11333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-133333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-13-1-13-1-10000
χ12333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-133333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-311-3110000
χ13333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-133333333-1-1-1-1-1-1-1-13-1-1-13-10000
χ14333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-133333333-1-1-1-1-1-1-1-1-3111-310000
χ15333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1333333333-1-1-1-130000
χ16333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-133333333-31111-30000
χ1766-2-2-2-266-2-2-2-2-2-22i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i0000000000
χ1866-2-2-2-266-2-2-2-2-2-2−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i0000000000
χ1966-2-2-2-2-2-266-2-2-2-22i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i0000000000
χ2066-2-2-2-2-2-266-2-2-2-2−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i0000000000
χ2166-2-2-2-2-2-2-2-266-2-22i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i0000000000
χ2266-2-2-2-2-2-2-2-266-2-2−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i0000000000
χ2366-2-2-2-2-2-2-2-2-2-2662i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i0000000000
χ2466-2-2-2-2-2-2-2-2-2-266−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i0000000000
χ256-26-2-2-22i−2i2i−2i2i−2i2i−2i6-2-2-26-2-2-22i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i0000000000
χ266-26-2-2-22i−2i2i−2i2i−2i2i−2i-26-2-2-26-2-22i2i−2i−2i2i2i−2i−2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i0000000000
χ276-26-2-2-22i−2i2i−2i2i−2i2i−2i-2-26-2-2-26-2−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i−2i−2i2i2i0000000000
χ286-26-2-2-22i−2i2i−2i2i−2i2i−2i-2-2-26-2-2-26−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i0000000000
χ296-26-2-2-2−2i2i−2i2i−2i2i−2i2i6-2-2-26-2-2-2−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i0000000000
χ306-26-2-2-2−2i2i−2i2i−2i2i−2i2i-26-2-2-26-2-2−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i0000000000
χ316-26-2-2-2−2i2i−2i2i−2i2i−2i2i-2-26-2-2-26-22i2i−2i−2i2i2i−2i−2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i0000000000
χ326-26-2-2-2−2i2i−2i2i−2i2i−2i2i-2-2-26-2-2-262i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i−2i−2i2i2i0000000000
χ336-2-26-2-22i−2i2i−2i−2i2i−2i2i2i2i−2i−2i−2i−2i2i2i-2-26-26-2-2-22i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i0000000000
χ346-2-26-2-22i−2i2i−2i−2i2i−2i2i2i2i−2i−2i−2i−2i2i2i-2-2-26-26-2-2−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i0000000000
χ356-2-26-2-22i−2i2i−2i−2i2i−2i2i−2i−2i2i2i2i2i−2i−2i6-2-2-2-2-26-22i−2i2i−2i2i−2i2i−2i−2i2i−2i2i−2i2i−2i2i0000000000
χ366-2-26-2-22i−2i2i−2i−2i2i−2i2i−2i−2i2i2i2i2i−2i−2i-26-2-2-2-2-26−2i2i−2i2i−2i2i−2i2i2i−2i2i−2i2i−2i2i−2i0000000000
χ376-2-26-2-2−2i2i−2i2i2i−2i2i−2i2i2i−2i−2i−2i−2i2i2i6-2-2-2-2-26-2−2i2i−2i2i−2i2i−2i2i2i−2i2i−2i2i−2i2i−2i0000000000
χ386-2-26-2-2−2i2i−2i2i2i−2i2i−2i2i2i−2i−2i−2i−2i2i2i-26-2-2-2-2-262i−2i2i−2i2i−2i2i−2i−2i2i−2i2i−2i2i−2i2i0000000000
χ396-2-26-2-2−2i2i−2i2i2i−2i2i−2i−2i−2i2i2i2i2i−2i−2i-2-26-26-2-2-2−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i0000000000
χ406-2-26-2-2−2i2i−2i2i2i−2i2i−2i−2i−2i2i2i2i2i−2i−2i-2-2-26-26-2-22i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i0000000000
χ416-2-2-26-22i−2i−2i2i2i−2i−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i2i−2i−2i2i−2i2i-2-2-266-2-2-22i−2i−2i2i−2i2i2i−2i0000000000
χ426-2-2-26-22i−2i−2i2i2i−2i−2i2i2i−2i2i−2i−2i2i−2i2i−2i2i−2i2i2i−2i2i−2i-2-26-2-26-2-2−2i2i2i−2i2i−2i−2i2i0000000000
χ436-2-2-26-22i−2i−2i2i2i−2i−2i2i−2i2i−2i2i2i−2i2i−2i2i−2i2i−2i−2i2i−2i2i-26-2-2-2-26-2−2i2i2i−2i2i−2i−2i2i0000000000
χ446-2-2-26-22i−2i−2i2i2i−2i−2i2i−2i2i−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i2i−2i6-2-2-2-2-2-262i−2i−2i2i−2i2i2i−2i0000000000
χ456-2-2-26-2−2i2i2i−2i−2i2i2i−2i2i−2i2i−2i−2i2i−2i2i2i−2i2i−2i−2i2i−2i2i6-2-2-2-2-2-26−2i2i2i−2i2i−2i−2i2i0000000000
χ466-2-2-26-2−2i2i2i−2i−2i2i2i−2i2i−2i2i−2i−2i2i−2i2i−2i2i−2i2i2i−2i2i−2i-26-2-2-2-26-22i−2i−2i2i−2i2i2i−2i0000000000
χ476-2-2-26-2−2i2i2i−2i−2i2i2i−2i−2i2i−2i2i2i−2i2i−2i2i−2i2i−2i−2i2i−2i2i-2-26-2-26-2-22i−2i−2i2i−2i2i2i−2i0000000000
χ486-2-2-26-2−2i2i2i−2i−2i2i2i−2i−2i2i−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i2i−2i-2-2-266-2-2-2−2i2i2i−2i2i−2i−2i2i0000000000
χ496-2-2-2-262i−2i−2i2i−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i−2i2i2i−2i-2-26-2-26-2-20000000000
χ506-2-2-2-262i−2i−2i2i−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i2i−2i−2i2i-2-2-266-2-2-20000000000
χ516-2-2-2-262i−2i−2i2i−2i2i2i−2i−2i2i2i−2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i−2i2i2i−2i2i−2i−2i2i6-2-2-2-2-2-260000000000
χ526-2-2-2-262i−2i−2i2i−2i2i2i−2i−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i-26-2-2-2-26-20000000000
χ536-2-2-2-26−2i2i2i−2i2i−2i−2i2i2i−2i−2i2i−2i2i2i−2i2i−2i−2i2i2i−2i−2i2i−2i2i2i−2i2i−2i−2i2i-26-2-2-2-26-20000000000
χ546-2-2-2-26−2i2i2i−2i2i−2i−2i2i2i−2i−2i2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i6-2-2-2-2-2-260000000000
χ556-2-2-2-26−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i−2i2i2i−2i-2-2-266-2-2-20000000000
χ566-2-2-2-26−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i2i−2i−2i2i-2-26-2-26-2-20000000000

Here i is the imaginary unit (i² = −1).