Finite Group Databasebeta

← Group #73159

Character table — Group #73159

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48
size1133666616161616113366661616161611336666161616161133666616161616
order122244443366222244446666222244446666222244446666
χ1111111111111111111111111111111111111111111111111
χ211111111−1−i32−1+i32−1−i32−1+i3211111111−1−i32−1+i32−1−i32−1+i3211111111−1−i32−1+i32−1−i32−1+i3211111111−1−i32−1+i32−1−i32−1+i32
χ311111111−1+i32−1−i32−1+i32−1−i3211111111−1+i32−1−i32−1+i32−1−i3211111111−1+i32−1−i32−1+i32−1−i3211111111−1+i32−1−i32−1+i32−1−i32
χ42-22-20000-1-1112-22-20000-1-1112-22-20000-1-1112-22-20000-1-111
χ52-22-200001+i321−i32−1−i32−1+i322-22-200001+i321−i32−1−i32−1+i322-22-200001+i321−i32−1−i32−1+i322-22-200001+i321−i32−1−i32−1+i32
χ62-22-200001−i321+i32−1+i32−1−i322-22-200001−i321+i32−1+i32−1−i322-22-200001−i321+i32−1+i32−1−i322-22-200001−i321+i32−1+i32−1−i32
χ73333-1-1-1-100003333-1-1-1-100003333-1-1-1-100003333-1-1-1-10000
χ833-1-111−1+2i−1−2i000033-1-111−1+2i−1−2i000033-1-111−1+2i−1−2i000033-1-111−1+2i−1−2i0000
χ933-1-111−1−2i−1+2i000033-1-111−1−2i−1+2i000033-1-111−1−2i−1+2i000033-1-111−1−2i−1+2i0000
χ1033-1-1−1+2i−1−2i11000033-1-1−1+2i−1−2i11000033-1-1−1+2i−1−2i11000033-1-1−1+2i−1−2i110000
χ1133-1-1−1−2i−1+2i11000033-1-1−1−2i−1+2i11000033-1-1−1−2i−1+2i11000033-1-1−1−2i−1+2i110000
χ126-6-22000000006-6-22000000006-6-22000000006-6-2200000000
χ13111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ1411111111−1−i32−1+i32−1−i32−1+i32-1-1-1-1-1-1-1-11+i321−i321+i321−i3211111111−1−i32−1+i32−1−i32−1+i32-1-1-1-1-1-1-1-11+i321−i321+i321−i32
χ1511111111−1+i32−1−i32−1+i32−1−i32-1-1-1-1-1-1-1-11−i321+i321−i321+i3211111111−1+i32−1−i32−1+i32−1−i32-1-1-1-1-1-1-1-11−i321+i321−i321+i32
χ162-22-20000-1-111-22-22000011-1-12-22-20000-1-111-22-22000011-1-1
χ172-22-200001+i321−i32−1−i32−1+i32-22-220000−1−i32−1+i321+i321−i322-22-200001+i321−i32−1−i32−1+i32-22-220000−1−i32−1+i321+i321−i32
χ182-22-200001−i321+i32−1+i32−1−i32-22-220000−1+i32−1−i321−i321+i322-22-200001−i321+i32−1+i32−1−i32-22-220000−1+i32−1−i321−i321+i32
χ193333-1-1-1-10000-3-3-3-3111100003333-1-1-1-10000-3-3-3-311110000
χ2033-1-111−1+2i−1−2i0000-3-311-1-11−2i1+2i000033-1-111−1+2i−1−2i0000-3-311-1-11−2i1+2i0000
χ2133-1-111−1−2i−1+2i0000-3-311-1-11+2i1−2i000033-1-111−1−2i−1+2i0000-3-311-1-11+2i1−2i0000
χ2233-1-1−1+2i−1−2i110000-3-3111−2i1+2i-1-1000033-1-1−1+2i−1−2i110000-3-3111−2i1+2i-1-10000
χ2333-1-1−1−2i−1+2i110000-3-3111+2i1−2i-1-1000033-1-1−1−2i−1+2i110000-3-3111+2i1−2i-1-10000
χ246-6-2200000000-662-2000000006-6-2200000000-662-200000000
χ25111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ2611111111−1−i32−1+i32−1−i32−1+i3211111111−1−i32−1+i32−1−i32−1+i32-1-1-1-1-1-1-1-11+i321−i321+i321−i32-1-1-1-1-1-1-1-11+i321−i321+i321−i32
χ2711111111−1+i32−1−i32−1+i32−1−i3211111111−1+i32−1−i32−1+i32−1−i32-1-1-1-1-1-1-1-11−i321+i321−i321+i32-1-1-1-1-1-1-1-11−i321+i321−i321+i32
χ282-22-20000-1-1112-22-20000-1-111-22-22000011-1-1-22-22000011-1-1
χ292-22-200001+i321−i32−1−i32−1+i322-22-200001+i321−i32−1−i32−1+i32-22-220000−1−i32−1+i321+i321−i32-22-220000−1−i32−1+i321+i321−i32
χ302-22-200001−i321+i32−1+i32−1−i322-22-200001−i321+i32−1+i32−1−i32-22-220000−1+i32−1−i321−i321+i32-22-220000−1+i32−1−i321−i321+i32
χ313333-1-1-1-100003333-1-1-1-10000-3-3-3-311110000-3-3-3-311110000
χ3233-1-111−1+2i−1−2i000033-1-111−1+2i−1−2i0000-3-311-1-11−2i1+2i0000-3-311-1-11−2i1+2i0000
χ3333-1-111−1−2i−1+2i000033-1-111−1−2i−1+2i0000-3-311-1-11+2i1−2i0000-3-311-1-11+2i1−2i0000
χ3433-1-1−1+2i−1−2i11000033-1-1−1+2i−1−2i110000-3-3111−2i1+2i-1-10000-3-3111−2i1+2i-1-10000
χ3533-1-1−1−2i−1+2i11000033-1-1−1−2i−1+2i110000-3-3111+2i1−2i-1-10000-3-3111+2i1−2i-1-10000
χ366-6-22000000006-6-2200000000-662-200000000-662-200000000
χ37111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ3811111111−1−i32−1+i32−1−i32−1+i32-1-1-1-1-1-1-1-11+i321−i321+i321−i32-1-1-1-1-1-1-1-11+i321−i321+i321−i3211111111−1−i32−1+i32−1−i32−1+i32
χ3911111111−1+i32−1−i32−1+i32−1−i32-1-1-1-1-1-1-1-11−i321+i321−i321+i32-1-1-1-1-1-1-1-11−i321+i321−i321+i3211111111−1+i32−1−i32−1+i32−1−i32
χ402-22-20000-1-111-22-22000011-1-1-22-22000011-1-12-22-20000-1-111
χ412-22-200001+i321−i32−1−i32−1+i32-22-220000−1−i32−1+i321+i321−i32-22-220000−1−i32−1+i321+i321−i322-22-200001+i321−i32−1−i32−1+i32
χ422-22-200001−i321+i32−1+i32−1−i32-22-220000−1+i32−1−i321−i321+i32-22-220000−1+i32−1−i321−i321+i322-22-200001−i321+i32−1+i32−1−i32
χ433333-1-1-1-10000-3-3-3-311110000-3-3-3-3111100003333-1-1-1-10000
χ4433-1-111−1+2i−1−2i0000-3-311-1-11−2i1+2i0000-3-311-1-11−2i1+2i000033-1-111−1+2i−1−2i0000
χ4533-1-111−1−2i−1+2i0000-3-311-1-11+2i1−2i0000-3-311-1-11+2i1−2i000033-1-111−1−2i−1+2i0000
χ4633-1-1−1+2i−1−2i110000-3-3111−2i1+2i-1-10000-3-3111−2i1+2i-1-1000033-1-1−1+2i−1−2i110000
χ4733-1-1−1−2i−1+2i110000-3-3111+2i1−2i-1-10000-3-3111+2i1−2i-1-1000033-1-1−1−2i−1+2i110000
χ486-6-2200000000-662-200000000-662-2000000006-6-2200000000

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