Finite Group Databasebeta

← Group #14417284

Character table — Group #14417284

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168
size111122222222222222222222224444444444444444444444444444444444444444444488888888888888888888888888888888101010101010101010101010101010101010101012121212121212122020202020202020202020202020242424242424242424242424242424246060606060606060
order122222344445566610101010101012121212668888101010101212151520202020202020202424242424242424303030303030606060606060606030303030404040404040404060606060120120120120120120120120120120120120120120120120444444448888242424242424242422444444881212121212121212242424241010101020202020202020202020202044444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1
χ61111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111
χ71111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-111
χ81111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-1
χ91111-1-11-1-111111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ101111-1-11-1-111111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1111111111111-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ111111-1-11-1-111111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ121111-1-11-1-111111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ131111-1-11-1-111111111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-111
χ141111-1-11-1-111111111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-111-1-1
χ151111-1-11-1-111111111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-11111111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1
χ161111-1-11-1-111111111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111
χ1711-1-11-111-11-1111-1-1-1-1-1-11111-1-11-11-11-111-1-11-111-1-111-1-11111-1-111-1-1-1-1-1-111-1-1-1-1111111-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1i−ii−ii−ii−iii−i−iiiii−i−i−i−i1-11-11-11-1i−iii−i−iii−i−iii−i−i11-1-111-1-111-1-111-1-1i−ii−ii−ii−i
χ1811-1-11-111-11-1111-1-1-1-1-1-11111-1-11-11-11-111-1-11-111-1-111-1-11111-1-111-1-1-1-1-1-111-1-1-1-1111111-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1i−ii−ii−ii−iii−i−iiiii−i−i−i−i-11-11-11-11i−iii−i−iii−i−iii−i−i-1-111-1-111-1-111-1-111−ii−ii−ii−ii
χ1911-1-11-111-11-1111-1-1-1-1-1-11111-1-11-11-11-111-1-11-111-1-111-1-11111-1-111-1-1-1-1-1-111-1-1-1-1111111-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1−ii−ii−ii−ii−i−iii−i−i−i−iiiii1-11-11-11-1−ii−i−iii−i−iii−i−iii11-1-111-1-111-1-111-1-1−ii−ii−ii−ii
χ2011-1-11-111-11-1111-1-1-1-1-1-11111-1-11-11-11-111-1-11-111-1-111-1-11111-1-111-1-1-1-1-1-111-1-1-1-1111111-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1−ii−ii−ii−ii−i−iii−i−i−i−iiiii-11-11-11-11−ii−i−iii−i−iii−i−iii-1-111-1-111-1-111-1-111i−ii−ii−ii−i
χ2111-1-11-111-11-1111-1-1-1-1-1-11111-1-11-1-11-1111-1-11-111-1-111-1-111-1-111-1-111-1-1-1-111-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-11111i−ii−ii−ii−i−i−iii−i−i−i−iiiii1-11-1-11-11−iiii−i−iii−i−i−i−iii11-1-111-1-1-1-111-1-111−iii−ii−i−ii
χ2211-1-11-111-11-1111-1-1-1-1-1-11111-1-11-1-11-1111-1-11-111-1-111-1-111-1-111-1-111-1-1-1-111-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-11111i−ii−ii−ii−i−i−iii−i−i−i−iiiii-11-111-11-1−iiii−i−iii−i−i−i−iii-1-111-1-11111-1-111-1-1i−i−ii−iii−i
χ2311-1-11-111-11-1111-1-1-1-1-1-11111-1-11-1-11-1111-1-11-111-1-111-1-111-1-111-1-111-1-1-1-111-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-11111−ii−ii−ii−iiii−i−iiiii−i−i−i−i1-11-1-11-11i−i−i−iii−i−iiiii−i−i11-1-111-1-1-1-111-1-111i−i−ii−iii−i
χ2411-1-11-111-11-1111-1-1-1-1-1-11111-1-11-1-11-1111-1-11-111-1-111-1-111-1-111-1-111-1-1-1-111-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-11111−ii−ii−ii−iiii−i−iiiii−i−i−i−i-11-111-11-1i−i−i−iii−i−iiiii−i−i-1-111-1-11111-1-111-1-1−iii−ii−i−ii
χ2511-1-1-111-111-1111-1-1-1-1-1-11111-1-1-111-1-11-1-111-1111-1-1-1-1111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111i−i−iii−i−iiii−i−iiiii−i−i−i−i1-1-111-1-11−iiii−i−i−i−iii−i−iii11-1-1-1-11111-1-1-1-111i−ii−i−ii−ii
χ2611-1-1-111-111-1111-1-1-1-1-1-11111-1-1-111-1-11-1-111-1111-1-1-1-1111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111i−i−iii−i−iiii−i−iiiii−i−i−i−i-111-1-111-1−iiii−i−i−i−iii−i−iii-1-11111-1-1-1-11111-1-1−ii−iii−ii−i
χ2711-1-1-111-111-1111-1-1-1-1-1-11111-1-1-111-1-11-1-111-1111-1-1-1-1111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111−iii−i−iii−i−i−iii−i−i−i−iiiii1-1-111-1-11i−i−i−iiiii−i−iii−i−i11-1-1-1-11111-1-1-1-111−ii−iii−ii−i
χ2811-1-1-111-111-1111-1-1-1-1-1-11111-1-1-111-1-11-1-111-1111-1-1-1-1111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111−iii−i−iii−i−i−iii−i−i−i−iiiii-111-1-111-1i−i−i−iiiii−i−iii−i−i-1-11111-1-1-1-11111-1-1i−ii−i−ii−ii
χ2911-1-1-111-111-1111-1-1-1-1-1-11111-1-1-11-111-1-1-111-1111-1-1-1-11111-1-11111-1-1-1-1-1-111-1-1-1-11111-1-111-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1i−i−iii−i−ii−i−iii−i−i−i−iiiii1-1-11-111-1i−iii−i−i−i−iiiii−i−i11-1-1-1-111-1-11111-1-1−iii−i−iii−i
χ3011-1-1-111-111-1111-1-1-1-1-1-11111-1-1-11-111-1-1-111-1111-1-1-1-11111-1-11111-1-1-1-1-1-111-1-1-1-11111-1-111-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1i−i−iii−i−ii−i−iii−i−i−i−iiiii-111-11-1-11i−iii−i−i−i−iiiii−i−i-1-11111-1-111-1-1-1-111i−i−iii−i−ii
χ3111-1-1-111-111-1111-1-1-1-1-1-11111-1-1-11-111-1-1-111-1111-1-1-1-11111-1-11111-1-1-1-1-1-111-1-1-1-11111-1-111-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1−iii−i−iii−iii−i−iiiii−i−i−i−i1-1-11-111-1−ii−i−iiiii−i−i−i−iii11-1-1-1-111-1-11111-1-1i−i−iii−i−ii
χ3211-1-1-111-111-1111-1-1-1-1-1-11111-1-1-11-111-1-1-111-1111-1-1-1-11111-1-11111-1-1-1-1-1-111-1-1-1-11111-1-111-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1−iii−i−iii−iii−i−iiiii−i−i−i−i-111-11-1-11−ii−i−iiiii−i−i−i−iii-1-11111-1-111-1-1-1-111−iii−i−iii−i
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+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+52−1+52000000000000000000002222222200000000000000−1−52−1+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+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+52−1+5200000000000000000000-2-2-2-2-2-2-2-2000000000000001+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+52−1−52−1+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+521−521−52000000000000000000002222-2-2-2-200000000000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−521+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+52−1−52−1+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+521−521−5200000000000000000000-2-2-2-22222000000000000001+521−521+521−521+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5200000000
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Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.