Finite Group Databasebeta

← Group #72259531

Character table — Group #72259531

Order 4800.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189
size1122222222222224444444444444444444444444444444444444444444444488888888888888888888888888888888888888888888888812122020202024242424242424242424242424242424242424242424242440404040404040404040404040404040404040404040404040404040606060607575100100120120120120120120120120150150150200200
order12234455556101010105555610101010101010101010101010101010121215151515202020202020202030303030606060606060606015151515202020202020202030303030303030303030303030303030606060606060606060606060606060606060606022248810101010101010101010101010101010101010101010101061010122020242430303030404040406060606012012012012012012012012024882222101020204040404024466
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1111111111111111111111111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111111111111111111111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111
χ511111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111
χ611111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1111-1-1
χ711111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-11111-1-1-1-1-1-11111111-1-1
χ811111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111111111-1-1-111
χ911-11-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-111111-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-11-11-11-111-1-111-1-111111111-1-1-1-1-1-1-1-1111-1-1-11-1111111-1-1-1-1-1-11111-1-1-1-11-11-1111-111-1-111-1-1-11-11-1
χ1011-11-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-111111-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-11-11-1-1111-1-111-1-111111111-1-1-1-1-1-1-1-1111-1-1-1-111111-1-111-1-1-1-1-1-1-1-11111-111-1-1-1-11-1-11111-1-11-11-11
χ1111-11-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-111111-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-11-1-111-111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111-1-111111111-1-1-1-11-1-11-1-1-1111-1-1-1-1111-11-11
χ1211-11-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-111111-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-11-1-11-1111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1111-11-1-1-1-1-1-1111111-1-1-1-11111-11-11111-1-1-111-1-111-11-11-1
χ1311-11-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-111111-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-1-111-11-1-1-111-1-111-1-1-1-1-1-1-1-111111111111-1-1-11-1111111-1-1-1-1-1-11111-1-1-1-1-11-11-1-11-1-1-111-1-1111-111-1
χ1411-11-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-111111-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-1-111-1-11-1-111-1-111-1-1-1-1-1-1-1-111111111111-1-1-1-111111-1-111-1-1-1-1-1-1-1-111111-1-1111-1111-1-1-1-111-11-1-11
χ1511-11-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-111111-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-1-11-111-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-11111-1-1-1-1-111-1-111111111-1-1-1-1-111-111-11-1-11111-1-1-11-1-11
χ1611-11-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-111111-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-1-11-11-11-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1111-11-1-1-1-1-1-1111111-1-1-1-111111-11-1-1-11-111-1-111-1-11-111-1
χ1722222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52222−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+5222−1−52−1+522222−1−52−1+52−1−52−1+5222−1−52−1+52222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522200222222−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000000220000−1−52−1+52−1−52−1+520000−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222000000−1−52−1+52−1−52−1+52000000000
χ1822222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52222−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+5222−1−52−1+522222−1−52−1+52−1−52−1+5222−1−52−1+52222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522200-2-22222−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000000-2-200001+521−521+521−5200001+521+521−521−521+521+521−521−52-2-20000001+521−521+521−52000000000
χ1922222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52222−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+5222−1−52−1+522222−1−52−1+52−1−52−1+5222−1−52−1+52222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-20022-2-2-2-21+521−521+521−521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52000000220000−1−52−1+52−1−52−1+520000−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-20000001+521−521+521−52000000000
χ2022222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52222−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+5222−1−52−1+522222−1−52−1+52−1−52−1+5222−1−52−1+52222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-200-2-2-2-2-2-21+521−521+521−521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52000000-2-200001+521−521+521−5200001+521+521−521−521+521+521−521−5222000000−1−52−1+52−1−52−1+52000000000
χ2122222222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52222−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−5222−1+52−1−522222−1+52−1−52−1+52−1−5222−1+52−1−52222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522200222222−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000000220000−1+52−1−52−1+52−1−520000−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222000000−1+52−1−52−1+52−1−52000000000
χ2222222222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52222−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−5222−1+52−1−522222−1+52−1−52−1+52−1−5222−1+52−1−52222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522200-2-22222−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000000-2-200001−521+521−521+5200001−521−521+521+521−521−521+521+52-2-20000001−521+521−521+52000000000
χ2322222222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52222−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−5222−1+52−1−522222−1+52−1−52−1+52−1−5222−1+52−1−52222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-20022-2-2-2-21−521+521−521+521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52000000220000−1+52−1−52−1+52−1−520000−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-20000001−521+521−521+52000000000
χ2422222222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52222−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−5222−1+52−1−522222−1+52−1−52−1+52−1−5222−1+52−1−52222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-200-2-2-2-2-2-21−521+521−521+521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52000000-2-200001−521+521−521+5200001−521−521+521+521−521−521+521+5222000000−1+52−1−52−1+52−1−52000000000
χ25222222−1−52−1+52222−1−52−1+5222−1−52−1+52−1−52−1+522−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+522222−1−52−1+52−1−52−1+522222−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52222200−1−52−1+52−1−52−1+522222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522−1−52−1+522−1−52−1+5200−1−52−1−52−1+52−1+520000−1−52−1−52−1+52−1+5200000000002200000000−1−52−1+52−1−52−1+5200000
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χ1888-80-400−2+25−2−25−2+25−2−2542−252+252−252+253−5-2-23+500000−5−55+5−2525−2525−5+55−5−3+522−3−5001−51+51−51+500000000−1+5−1−5−1+5−1−5−2ζ7−2ζ23+2ζ43+2ζ472ζ7+2ζ23−2ζ43−2ζ47−2ζ11−2ζ19+2ζ31+2ζ592ζ11+2ζ19−2ζ31−2ζ592ζ7+2ζ23−2ζ43−2ζ47−2ζ7−2ζ23+2ζ43+2ζ472ζ11+2ζ19−2ζ31−2ζ59−2ζ11−2ζ19+2ζ31+2ζ59−3+5211−3−520000000000005+52−5−525−55−55−52−5+523−52-1-13+520000ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59−ζ7−ζ11−ζ19−ζ23+ζ31+ζ43+ζ47+ζ59ζ7+ζ11+ζ19+ζ23−ζ31−ζ43−ζ47−ζ59ζ7−ζ11−ζ19+ζ23+ζ31−ζ43−ζ47+ζ59−ζ7+ζ11+ζ19−ζ23−ζ31+ζ43+ζ47−ζ59−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59−ζ7+ζ11+ζ19−ζ23−ζ31+ζ43+ζ47−ζ59ζ7−ζ11−ζ19+ζ23+ζ31−ζ43−ζ47+ζ59ζ7+ζ11+ζ19+ζ23−ζ31−ζ43−ζ47−ζ59−ζ7−ζ11−ζ19−ζ23+ζ31+ζ43+ζ47+ζ59ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ470000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1898-80-400−2+25−2−25−2+25−2−2542−252+252−252+253−5-2-23+500000−5−55+5−2525−2525−5+55−5−3+522−3−5001−51+51−51+500000000−1+5−1−5−1+5−1−52ζ7+2ζ23−2ζ43−2ζ47−2ζ7−2ζ23+2ζ43+2ζ472ζ11+2ζ19−2ζ31−2ζ59−2ζ11−2ζ19+2ζ31+2ζ59−2ζ7−2ζ23+2ζ43+2ζ472ζ7+2ζ23−2ζ43−2ζ47−2ζ11−2ζ19+2ζ31+2ζ592ζ11+2ζ19−2ζ31−2ζ59−3+5211−3−520000000000005+52−5−525−55−55−52−5+523−52-1-13+520000−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59ζ7+ζ11+ζ19+ζ23−ζ31−ζ43−ζ47−ζ59−ζ7−ζ11−ζ19−ζ23+ζ31+ζ43+ζ47+ζ59−ζ7+ζ11+ζ19−ζ23−ζ31+ζ43+ζ47−ζ59ζ7−ζ11−ζ19+ζ23+ζ31−ζ43−ζ47+ζ59ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59ζ7−ζ11−ζ19+ζ23+ζ31−ζ43−ζ47+ζ59−ζ7+ζ11+ζ19−ζ23−ζ31+ζ43+ζ47−ζ59−ζ7−ζ11−ζ19−ζ23+ζ31+ζ43+ζ47+ζ59ζ7+ζ11+ζ19+ζ23−ζ31−ζ43−ζ47−ζ59−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ470000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 60 (ζ60 = 1).