Finite Group Databasebeta

← Group #64338

Character table — Group #64338

Order 288.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36
size113366661616161611336666161616161133666616161616
order12224444336636661212121233663666121212123366
χ1111111111111111111111111111111111111
χ211111111−1+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+i32
χ42-22-20000-1-1112-22-20000-1-1112-22-20000-1-111
χ52-22-200001−i321+i32−1+i32−1−i322-22-200001−i321+i32−1+i32−1−i322-22-200001−i321+i32−1+i32−1−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+i32
χ73333-1-1-1-100003333-1-1-1-100003333-1-1-1-10000
χ833-1-13-1-1-1000033-1-13-1-1-1000033-1-13-1-1-10000
χ933-1-1-13-1-1000033-1-1-13-1-1000033-1-1-13-1-10000
χ1033-1-1-1-13-1000033-1-1-1-13-1000033-1-1-1-13-10000
χ1133-1-1-1-1-13000033-1-1-1-1-13000033-1-1-1-1-130000
χ126-6-22000000006-6-22000000006-6-2200000000
χ13111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ1411111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i321−1−i321−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−1+i321−1+i32
χ1511111111−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−1−i321−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i321−1+i321
χ162-22-20000-1-111−1+i31−i3−1+i31−i300001−i321−i32−1+i32−1+i32−1−i31+i3−1−i31+i300001+i321+i32−1−i32−1−i32
χ172-22-200001−i321+i32−1+i32−1−i32−1+i31−i3−1+i31−i300001+i32-1−1−i321−1−i31+i3−1−i31+i30000-11−i321−1+i32
χ182-22-200001+i321−i32−1−i32−1+i32−1+i31−i3−1+i31−i30000-11+i321−1−i32−1−i31+i3−1−i31+i300001−i32-1−1+i321
χ193333-1-1-1-10000−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i320000−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i320000
χ2033-1-13-1-1-10000−3+3i32−3+3i321−i321−i32−3+3i321−i321−i321−i320000−3−3i32−3−3i321+i321+i32−3−3i321+i321+i321+i320000
χ2133-1-1-13-1-10000−3+3i32−3+3i321−i321−i321−i32−3+3i321−i321−i320000−3−3i32−3−3i321+i321+i321+i32−3−3i321+i321+i320000
χ2233-1-1-1-13-10000−3+3i32−3+3i321−i321−i321−i321−i32−3+3i321−i320000−3−3i32−3−3i321+i321+i321+i321+i32−3−3i321+i320000
χ2333-1-1-1-1-130000−3+3i32−3+3i321−i321−i321−i321−i321−i32−3+3i320000−3−3i32−3−3i321+i321+i321+i321+i321+i32−3−3i320000
χ246-6-2200000000−3+3i33−3i31−i3−1+i300000000−3−3i33+3i31+i3−1−i300000000
χ25111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ2611111111−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−1+i321−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i321−1−i321
χ2711111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i321−1+i321−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−1−i321−1−i32
χ282-22-20000-1-111−1−i31+i3−1−i31+i300001+i321+i32−1−i32−1−i32−1+i31−i3−1+i31−i300001−i321−i32−1+i32−1+i32
χ292-22-200001−i321+i32−1+i32−1−i32−1−i31+i3−1−i31+i30000-11−i321−1+i32−1+i31−i3−1+i31−i300001+i32-1−1−i321
χ302-22-200001+i321−i32−1−i32−1+i32−1−i31+i3−1−i31+i300001−i32-1−1+i321−1+i31−i3−1+i31−i30000-11+i321−1−i32
χ313333-1-1-1-10000−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i320000−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i320000
χ3233-1-13-1-1-10000−3−3i32−3−3i321+i321+i32−3−3i321+i321+i321+i320000−3+3i32−3+3i321−i321−i32−3+3i321−i321−i321−i320000
χ3333-1-1-13-1-10000−3−3i32−3−3i321+i321+i321+i32−3−3i321+i321+i320000−3+3i32−3+3i321−i321−i321−i32−3+3i321−i321−i320000
χ3433-1-1-1-13-10000−3−3i32−3−3i321+i321+i321+i321+i32−3−3i321+i320000−3+3i32−3+3i321−i321−i321−i321−i32−3+3i321−i320000
χ3533-1-1-1-1-130000−3−3i32−3−3i321+i321+i321+i321+i321+i32−3−3i320000−3+3i32−3+3i321−i321−i321−i321−i321−i32−3+3i320000
χ366-6-2200000000−3−3i33+3i31+i3−1−i300000000−3+3i33−3i31−i3−1+i300000000

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