Finite Group Databasebeta

← Group #14413421

Character table — Group #14413421

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168
size11112222222222222222222222444444444444444444444444444444444444444444445555888888888888888888888888888888881010101010101010101010101010121212121212121220202020202020202020202020202020242424242424242424242424242424246060606060606060
order122222344445566610101010101012121212668888101010101212151520202020202020202424242424242424303030303030606060606060606044443030303040404040404040406060606012012012012012012012012012012012012012012012012022224466661212121244444444668888121224242424242424242020202020202020202020202020202044444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1
χ61111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111
χ71111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111111111-1-1-1-111111111-1-1-1-111-1-1-1-111
χ81111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1
χ91111-1-111-1-11111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111
χ101111-1-111-1-11111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1
χ111111-1-111-1-11111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-111-1-1
χ121111-1-111-1-11111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-111
χ131111-1-111-1-11111111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ141111-1-111-1-11111111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111111111-1-11111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ151111-1-111-1-11111111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ161111-1-111-1-11111111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ1711-1-11-11-11-1111-1-1111-1-1-1-1-1-1111-11-11-111-1-11-111-1-111-1-11111-1-111-1-1-1-1-1-111-1-1-1-1111111-1-111-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11-11-11-111-1-111-1-1i−ii−ii−ii−i1-11-11-11-111-1-111-1-1ii−i−iii−i−iii−i−iii−i−ii−ii−ii−ii−i
χ1811-1-11-11-11-1111-1-1111-1-1-1-1-1-1111-11-11-111-1-11-111-1-111-1-11111-1-111-1-1-1-1-1-111-1-1-1-1111111-1-111-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11-11-11-111-1-111-1-1−ii−ii−ii−ii1-11-11-11-111-1-111-1-1−i−iii−i−iii−i−iii−i−iii−ii−ii−ii−ii
χ1911-1-11-11-11-1111-1-1111-1-1-1-1-1-1111-11-11-111-1-11-111-1-111-1-11111-1-111-1-1-1-1-1-111-1-1-1-11111-1-11111-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-11-11-11-1-111-1-111i−ii−ii−ii−i-11-11-11-11-1-111-1-111ii−i−iii−i−iii−i−iii−i−i−ii−ii−ii−ii
χ2011-1-11-11-11-1111-1-1111-1-1-1-1-1-1111-11-11-111-1-11-111-1-111-1-11111-1-111-1-1-1-1-1-111-1-1-1-11111-1-11111-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-11-11-11-1-111-1-111−ii−ii−ii−ii-11-11-11-11-1-111-1-111−i−iii−i−iii−i−iii−i−iiii−ii−ii−ii−i
χ2111-1-11-11-11-1111-1-1111-1-1-1-1-1-1111-1-11-1111-1-11-111-1-111-1-111-1-111-1-111-1-1-1-111-1-1-1-1111111-1-111-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-111111-11-11-111-1-111-1-1i−ii−i−ii−ii1-1-11-111-1-1-111-1-111−i−iiiii−i−iii−i−i−i−iii−iii−ii−i−ii
χ2211-1-11-11-11-1111-1-1111-1-1-1-1-1-1111-1-11-1111-1-11-111-1-111-1-111-1-111-1-111-1-1-1-111-1-1-1-1111111-1-111-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-111111-11-11-111-1-111-1-1−ii−iii−ii−i1-1-11-111-1-1-111-1-111ii−i−i−i−iii−i−iiiii−i−ii−i−ii−iii−i
χ2311-1-11-11-11-1111-1-1111-1-1-1-1-1-1111-1-11-1111-1-11-111-1-111-1-111-1-111-1-111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-11111-11-11-11-1-111-1-111i−ii−i−ii−ii-111-11-1-1111-1-111-1-1−i−iiiii−i−iii−i−i−i−iiii−i−ii−iii−i
χ2411-1-11-11-11-1111-1-1111-1-1-1-1-1-1111-1-11-1111-1-11-111-1-111-1-111-1-111-1-111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-11111-11-11-11-1-111-1-111−ii−iii−ii−i-111-11-1-1111-1-111-1-1ii−i−i−i−iii−i−iiiii−i−i−iii−ii−i−ii
χ2511-1-1-111-1-11111-1-1111-1-1-1-1-1-111-111-1-11-1-111-1111-1-1-1-1111111-1-1-1-111-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111111-1-11-1111-1-111-1-1i−i−iii−i−ii-111-1-11-1111-1-1-1-111−i−iiiii−i−i−i−iiiii−i−i−iii−i−iii−i
χ2611-1-1-111-1-11111-1-1111-1-1-1-1-1-111-111-1-11-1-111-1111-1-1-1-1111111-1-1-1-111-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111111-1-11-1111-1-111-1-1−iii−i−iii−i-111-1-11-1111-1-1-1-111ii−i−i−i−iiiii−i−i−i−iiii−i−iii−i−ii
χ2711-1-1-111-1-11111-1-1111-1-1-1-1-1-111-111-1-11-1-111-1111-1-1-1-1111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-111-1-11111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-111-11-1-1-111-1-111i−i−iii−i−ii1-1-111-11-1-1-11111-1-1−i−iiiii−i−i−i−iiiii−i−ii−i−iii−i−ii
χ2811-1-1-111-1-11111-1-1111-1-1-1-1-1-111-111-1-11-1-111-1111-1-1-1-1111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-111-1-11111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-111-11-1-1-111-1-111−iii−i−iii−i1-1-111-11-1-1-11111-1-1ii−i−i−i−iiiii−i−i−i−iii−iii−i−iii−i
χ2911-1-1-111-1-11111-1-1111-1-1-1-1-1-111-11-111-1-1-111-1111-1-1-1-11111-1-11111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-11-1-11-1111-1-111-1-1i−i−ii−iii−i-11-111-1-11-1-11111-1-1ii−i−iii−i−i−i−iii−i−iiii−ii−i−ii−ii
χ3011-1-1-111-1-11111-1-1111-1-1-1-1-1-111-11-111-1-1-111-1111-1-1-1-11111-1-11111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-11-1-11-1111-1-111-1-1−iii−ii−i−ii-11-111-1-11-1-11111-1-1−i−iii−i−iiiii−i−iii−i−i−ii−iii−ii−i
χ3111-1-1-111-1-11111-1-1111-1-1-1-1-1-111-11-111-1-1-111-1111-1-1-1-11111-1-11111-1-1-1-1-1-111-1-1-1-11111-1-111-1-111-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1-111-11-1-1-111-1-111i−i−ii−iii−i1-11-1-111-111-1-1-1-111ii−i−iii−i−i−i−iii−i−iii−ii−iii−ii−i
χ3211-1-1-111-1-11111-1-1111-1-1-1-1-1-111-11-111-1-1-111-1111-1-1-1-11111-1-11111-1-1-1-1-1-111-1-1-1-11111-1-111-1-111-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1-111-11-1-1-111-1-111−iii−ii−i−ii1-11-1-111-111-1-1-1-111−i−iii−i−iiiii−i−iii−i−ii−ii−i−ii−ii
χ3322222222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+522222222222−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222222222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000−1−52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000222222220000000000000000−1−52−1+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+5200000000
χ3422222222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+522222222222−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222222222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000−1−52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000-2-2-2-2-2-2-2-200000000000000001+521−521+521−521+521−521+521−521+521−521+521−521+521−521+521−5200000000
χ3522222222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52222222-2-2-2-2−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000−1−52−1+52−1−52−1+521+521−521+521−521+521−521+521−52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−52000000000000002222-2-2-2-200000000000000001+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−5200000000
χ3622222222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52222222-2-2-2-2−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000−1−52−1+52−1−52−1+521+521−521+521−521+521−521+521−52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−5200000000000000-2-2-2-222220000000000000000−1−52−1+52−1−52−1+521+521−521+521−521+521−521+521−52−1−52−1+52−1−52−1+5200000000
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χ1638-8-880080000−2−25−2+25-88-82+252−25−2−25−2+252+252−250000000000000000−2−25−2+2500000000000000002+25−2−252−25−2+252+252−250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1648-8-880080000−2+25−2−25-88-82−252+25−2+25−2−252−252+250000000000000000−2+25−2−2500000000000000002−25−2+252+25−2−252−252+250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1658-8-8800-40000−2−25−2+254-442+252−25−2−25−2+252+252−2543−43−43430000000000001+51−50000000000000000−1−51+5−1+51−5−1−5−1+5−2ζ11+2ζ19+2ζ31−2ζ592ζ11−2ζ19−2ζ31+2ζ592ζ7−2ζ23+2ζ43−2ζ47−2ζ7+2ζ23−2ζ43+2ζ472ζ11−2ζ19−2ζ31+2ζ59−2ζ11+2ζ19+2ζ31−2ζ59−2ζ7+2ζ23−2ζ43+2ζ472ζ7−2ζ23+2ζ43−2ζ4700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1668-8-8800-40000−2−25−2+254-442+252−25−2−25−2+252+252−25−434343−430000000000001+51−50000000000000000−1−51+5−1+51−5−1−5−1+52ζ11−2ζ19−2ζ31+2ζ59−2ζ11+2ζ19+2ζ31−2ζ59−2ζ7+2ζ23−2ζ43+2ζ472ζ7−2ζ23+2ζ43−2ζ47−2ζ11+2ζ19+2ζ31−2ζ592ζ11−2ζ19−2ζ31+2ζ592ζ7−2ζ23+2ζ43−2ζ47−2ζ7+2ζ23−2ζ43+2ζ4700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1678-8-8800-40000−2+25−2−254-442−252+25−2+25−2−252−252+2543−43−43430000000000001−51+50000000000000000−1+51−5−1−51+5−1+5−1−52ζ7−2ζ23+2ζ43−2ζ47−2ζ7+2ζ23−2ζ43+2ζ47−2ζ11+2ζ19+2ζ31−2ζ592ζ11−2ζ19−2ζ31+2ζ59−2ζ7+2ζ23−2ζ43+2ζ472ζ7−2ζ23+2ζ43−2ζ472ζ11−2ζ19−2ζ31+2ζ59−2ζ11+2ζ19+2ζ31−2ζ5900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1688-8-8800-40000−2+25−2−254-442−252+25−2+25−2−252−252+25−434343−430000000000001−51+50000000000000000−1+51−5−1−51+5−1+5−1−5−2ζ7+2ζ23−2ζ43+2ζ472ζ7−2ζ23+2ζ43−2ζ472ζ11−2ζ19−2ζ31+2ζ59−2ζ11+2ζ19+2ζ31−2ζ592ζ7−2ζ23+2ζ43−2ζ47−2ζ7+2ζ23−2ζ43+2ζ47−2ζ11+2ζ19+2ζ31−2ζ592ζ11−2ζ19−2ζ31+2ζ5900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.