Finite Group Databasebeta

← Group #64334

Character table — Group #64334

Order 288.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size134413442688268826881344134426882688268813441344268826882688
order123322664412124412124412123633666612121212121212121212121236336666121212121212121212121212
χ1111111111111111111111111111111111111111111111111111111111111
χ211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i32
χ311−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i32
χ43-1003-1003-1003-1003-1003-1003-1003-1003-1003-1003-1003-1003-1003-1003-100
χ5111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ611−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i32-1-11−i321+i32-1-11−i321+i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i32-1-11−i321+i32-1-11−i321+i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i32-1-11−i321+i32-1-11−i321+i32
χ711−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i32-1-11+i321−i32-1-11+i321−i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i32-1-11+i321−i32-1-11+i321−i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i32-1-11+i321−i32-1-11+i321−i32
χ83-1003-1003-100-3100-31003-1003-1003-100-3100-31003-1003-1003-100-3100-3100
χ911111111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ1011−1+i32−1−i3211−1+i32−1−i32-1-11−i321+i3211−1+i32−1−i32-1-11−i321+i3211−1+i32−1−i3211−1+i32−1−i32-1-11−i321+i3211−1+i32−1−i32-1-11−i321+i3211−1+i32−1−i3211−1+i32−1−i32-1-11−i321+i3211−1+i32−1−i32-1-11−i321+i32
χ1111−1−i32−1+i3211−1−i32−1+i32-1-11+i321−i3211−1−i32−1+i32-1-11+i321−i3211−1−i32−1+i3211−1−i32−1+i32-1-11+i321−i3211−1−i32−1+i32-1-11+i321−i3211−1−i32−1+i3211−1−i32−1+i32-1-11+i321−i3211−1−i32−1+i32-1-11+i321−i32
χ123-1003-100-31003-100-31003-1003-100-31003-100-31003-1003-100-31003-100-3100
χ1311111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111
χ1411−1+i32−1−i3211−1+i32−1−i32-1-11−i321+i32-1-11−i321+i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i32-1-11−i321+i32-1-11−i321+i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i32-1-11−i321+i32-1-11−i321+i3211−1+i32−1−i32
χ1511−1−i32−1+i3211−1−i32−1+i32-1-11+i321−i32-1-11+i321−i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i32-1-11+i321−i32-1-11+i321−i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i32-1-11+i321−i32-1-11+i321−i3211−1−i32−1+i32
χ163-1003-100-3100-31003-1003-1003-100-3100-31003-1003-1003-100-3100-31003-100
χ172222-2-2-2-20000000000002222-2-2-2-20000000000002222-2-2-2-2000000000000
χ1822−1+i3−1−i3-2-21−i31+i300000000000022−1+i3−1−i3-2-21−i31+i300000000000022−1+i3−1−i3-2-21−i31+i3000000000000
χ1922−1−i3−1+i3-2-21+i31−i300000000000022−1−i3−1+i3-2-21+i31−i300000000000022−1−i3−1+i3-2-21+i31−i3000000000000
χ206-200-62000000000000006-200-62000000000000006-200-6200000000000000
χ2111111111111111111111−1+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−i32−1−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
χ2211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i321−1+i32−1+i32−1−i321−1+i32−1+i32−1−i321−1+i32−1+i32−1−i321−1+i32−1+i32−1−i321−1−i32−1−i321−1+i32−1−i32−1−i321−1+i32−1−i32−1−i321−1+i32−1−i32−1−i321−1+i32−1−i32−1−i321−1+i32
χ2311−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i32−1+i32−1+i321−1−i32−1+i32−1+i321−1−i32−1+i32−1+i321−1−i32−1+i32−1+i321−1−i32−1+i32−1+i321−1−i32−1−i32−1−i32−1+i321−1−i32−1−i32−1+i321−1−i32−1−i32−1+i321−1−i32−1−i32−1+i321−1−i32−1−i32−1+i321
χ243-1003-1003-1003-1003-100−3+3i321−i3200−3+3i321−i3200−3+3i321−i3200−3+3i321−i3200−3+3i321−i3200−3−3i321+i3200−3−3i321+i3200−3−3i321+i3200−3−3i321+i3200−3−3i321+i3200
χ25111111111111-1-1-1-1-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−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+i321+i321+i321+i321+i321+i321+i321+i32
χ2611−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i32-1-11−i321+i32-1-11−i321+i32−1+i32−1+i32−1−i321−1+i32−1+i32−1−i321−1+i32−1+i32−1−i3211−i321−i321+i32-11−i321−i321+i32-1−1−i32−1−i321−1+i32−1−i32−1−i321−1+i32−1−i32−1−i321−1+i321+i321+i32-11−i321+i321+i32-11−i32
χ2711−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i32-1-11+i321−i32-1-11+i321−i32−1+i32−1+i321−1−i32−1+i32−1+i321−1−i32−1+i32−1+i321−1−i321−i321−i32-11+i321−i321−i32-11+i32−1−i32−1−i32−1+i321−1−i32−1−i32−1+i321−1−i32−1−i32−1+i3211+i321+i321−i32-11+i321+i321−i32-1
χ283-1003-1003-100-3100-3100−3+3i321−i3200−3+3i321−i3200−3+3i321−i32003−3i32−1+i32003−3i32−1+i3200−3−3i321+i3200−3−3i321+i3200−3−3i321+i32003+3i32−1−i32003+3i32−1−i3200
χ2911111111-1-1-1-11111-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32
χ3011−1+i32−1−i3211−1+i32−1−i32-1-11−i321+i3211−1+i32−1−i32-1-11−i321+i32−1+i32−1+i32−1−i321−1+i32−1+i32−1−i3211−i321−i321+i32-1−1+i32−1+i32−1−i3211−i321−i321+i32-1−1−i32−1−i321−1+i32−1−i32−1−i321−1+i321+i321+i32-11−i32−1−i32−1−i321−1+i321+i321+i32-11−i32
χ3111−1−i32−1+i3211−1−i32−1+i32-1-11+i321−i3211−1−i32−1+i32-1-11+i321−i32−1+i32−1+i321−1−i32−1+i32−1+i321−1−i321−i321−i32-11+i32−1+i32−1+i321−1−i321−i321−i32-11+i32−1−i32−1−i32−1+i321−1−i32−1−i32−1+i3211+i321+i321−i32-1−1−i32−1−i32−1+i3211+i321+i321−i32-1
χ323-1003-100-31003-100-3100−3+3i321−i3200−3+3i321−i32003−3i32−1+i3200−3+3i321−i32003−3i32−1+i3200−3−3i321+i3200−3−3i321+i32003+3i32−1−i3200−3−3i321+i32003+3i32−1−i3200
χ3311111111-1-1-1-1-1-1-1-11111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−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+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32
χ3411−1+i32−1−i3211−1+i32−1−i32-1-11−i321+i32-1-11−i321+i3211−1+i32−1−i32−1+i32−1+i32−1−i321−1+i32−1+i32−1−i3211−i321−i321+i32-11−i321−i321+i32-1−1+i32−1+i32−1−i321−1−i32−1−i321−1+i32−1−i32−1−i321−1+i321+i321+i32-11−i321+i321+i32-11−i32−1−i32−1−i321−1+i32
χ3511−1−i32−1+i3211−1−i32−1+i32-1-11+i321−i32-1-11+i321−i3211−1−i32−1+i32−1+i32−1+i321−1−i32−1+i32−1+i321−1−i321−i321−i32-11+i321−i321−i32-11+i32−1+i32−1+i321−1−i32−1−i32−1−i32−1+i321−1−i32−1−i32−1+i3211+i321+i321−i32-11+i321+i321−i32-1−1−i32−1−i32−1+i321
χ363-1003-100-3100-31003-100−3+3i321−i3200−3+3i321−i32003−3i32−1+i32003−3i32−1+i3200−3+3i321−i3200−3−3i321+i3200−3−3i321+i32003+3i32−1−i32003+3i32−1−i3200−3−3i321+i3200
χ372222-2-2-2-2000000000000−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3000000000000−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3000000000000
χ3822−1+i3−1−i3-2-21−i31+i3000000000000−1+i3−1+i3−1−i321−i31−i31+i3-2000000000000−1−i3−1−i32−1+i31+i31+i3-21−i3000000000000
χ3922−1−i3−1+i3-2-21+i31−i3000000000000−1+i3−1+i32−1−i31−i31−i3-21+i3000000000000−1−i3−1−i3−1+i321+i31+i31−i3-2000000000000
χ406-200-6200000000000000−3+3i31−i3003−3i3−1+i300000000000000−3−3i31+i3003+3i3−1−i300000000000000
χ4111111111111111111111−1−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+i32−1+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
χ4211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i32−1−i32−1−i321−1+i32−1−i32−1−i321−1+i32−1−i32−1−i321−1+i32−1−i32−1−i321−1+i32−1−i32−1−i321−1+i32−1+i32−1+i32−1−i321−1+i32−1+i32−1−i321−1+i32−1+i32−1−i321−1+i32−1+i32−1−i321−1+i32−1+i32−1−i321
χ4311−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i321−1−i32−1−i32−1+i321−1−i32−1−i32−1+i321−1−i32−1−i32−1+i321−1−i32−1−i32−1+i321−1+i32−1+i321−1−i32−1+i32−1+i321−1−i32−1+i32−1+i321−1−i32−1+i32−1+i321−1−i32−1+i32−1+i321−1−i32
χ443-1003-1003-1003-1003-100−3−3i321+i3200−3−3i321+i3200−3−3i321+i3200−3−3i321+i3200−3−3i321+i3200−3+3i321−i3200−3+3i321−i3200−3+3i321−i3200−3+3i321−i3200−3+3i321−i3200
χ45111111111111-1-1-1-1-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+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−i321−i321−i321−i321−i321−i321−i321−i32
χ4611−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i32-1-11−i321+i32-1-11−i321+i32−1−i32−1−i321−1+i32−1−i32−1−i321−1+i32−1−i32−1−i321−1+i321+i321+i32-11−i321+i321+i32-11−i32−1+i32−1+i32−1−i321−1+i32−1+i32−1−i321−1+i32−1+i32−1−i3211−i321−i321+i32-11−i321−i321+i32-1
χ4711−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i32-1-11+i321−i32-1-11+i321−i32−1−i32−1−i32−1+i321−1−i32−1−i32−1+i321−1−i32−1−i32−1+i3211+i321+i321−i32-11+i321+i321−i32-1−1+i32−1+i321−1−i32−1+i32−1+i321−1−i32−1+i32−1+i321−1−i321−i321−i32-11+i321−i321−i32-11+i32
χ483-1003-1003-100-3100-3100−3−3i321+i3200−3−3i321+i3200−3−3i321+i32003+3i32−1−i32003+3i32−1−i3200−3+3i321−i3200−3+3i321−i3200−3+3i321−i32003−3i32−1+i32003−3i32−1+i3200
χ4911111111-1-1-1-11111-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32
χ5011−1+i32−1−i3211−1+i32−1−i32-1-11−i321+i3211−1+i32−1−i32-1-11−i321+i32−1−i32−1−i321−1+i32−1−i32−1−i321−1+i321+i321+i32-11−i32−1−i32−1−i321−1+i321+i321+i32-11−i32−1+i32−1+i32−1−i321−1+i32−1+i32−1−i3211−i321−i321+i32-1−1+i32−1+i32−1−i3211−i321−i321+i32-1
χ5111−1−i32−1+i3211−1−i32−1+i32-1-11+i321−i3211−1−i32−1+i32-1-11+i321−i32−1−i32−1−i32−1+i321−1−i32−1−i32−1+i3211+i321+i321−i32-1−1−i32−1−i32−1+i3211+i321+i321−i32-1−1+i32−1+i321−1−i32−1+i32−1+i321−1−i321−i321−i32-11+i32−1+i32−1+i321−1−i321−i321−i32-11+i32
χ523-1003-100-31003-100-3100−3−3i321+i3200−3−3i321+i32003+3i32−1−i3200−3−3i321+i32003+3i32−1−i3200−3+3i321−i3200−3+3i321−i32003−3i32−1+i3200−3+3i321−i32003−3i32−1+i3200
χ5311111111-1-1-1-1-1-1-1-11111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+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−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32
χ5411−1+i32−1−i3211−1+i32−1−i32-1-11−i321+i32-1-11−i321+i3211−1+i32−1−i32−1−i32−1−i321−1+i32−1−i32−1−i321−1+i321+i321+i32-11−i321+i321+i32-11−i32−1−i32−1−i321−1+i32−1+i32−1+i32−1−i321−1+i32−1+i32−1−i3211−i321−i321+i32-11−i321−i321+i32-1−1+i32−1+i32−1−i321
χ5511−1−i32−1+i3211−1−i32−1+i32-1-11+i321−i32-1-11+i321−i3211−1−i32−1+i32−1−i32−1−i32−1+i321−1−i32−1−i32−1+i3211+i321+i321−i32-11+i321+i321−i32-1−1−i32−1−i32−1+i321−1+i32−1+i321−1−i32−1+i32−1+i321−1−i321−i321−i32-11+i321−i321−i32-11+i32−1+i32−1+i321−1−i32
χ563-1003-100-3100-31003-100−3−3i321+i3200−3−3i321+i32003+3i32−1−i32003+3i32−1−i3200−3−3i321+i3200−3+3i321−i3200−3+3i321−i32003−3i32−1+i32003−3i32−1+i3200−3+3i321−i3200
χ572222-2-2-2-2000000000000−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3000000000000−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3000000000000
χ5822−1+i3−1−i3-2-21−i31+i3000000000000−1−i3−1−i32−1+i31+i31+i3-21−i3000000000000−1+i3−1+i3−1−i321−i31−i31+i3-2000000000000
χ5922−1−i3−1+i3-2-21+i31−i3000000000000−1−i3−1−i3−1+i321+i31+i31−i3-2000000000000−1+i3−1+i32−1−i31−i31−i3-21+i3000000000000
χ606-200-6200000000000000−3−3i31+i3003+3i3−1−i300000000000000−3+3i31−i3003−3i3−1+i300000000000000

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