Finite Group Databasebeta

← Group #14299754

Character table — Group #14299754

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150
size111122222222222222222222222222444444444444444444444444444444888888888888888888888888888888888888881212121212121212121212121212121212121212121212122020202024242424242424244040404040404040404060606060120120
order1222223444455666101010101010202020202020202066101010101212121215152020202030303030303060606060606060608824242424303030304040404040404040606060601201201201201201201201201201201201201201201201204444444420202020202020202020202020202020224420202020202020204466121212121212444488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-11111-1-1
χ6111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-111
χ7111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111
χ8111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1
χ91-11-1-1111-1-1111-11-111-1-1-1-11111-1-1-1-11-1-1-11111-1-11111-1-1-1-1-1-1111111-1-1-1-1i−iii−i−i11-1-1iiii−i−i−i−i11-1-1iiiiiiii−i−i−i−i−i−i−i−ii−ii−i11-1-111111111-1-1-1-1-1-1-1-11-11-1iiii−i−i−i−ii−i1-11-1ii−i−iii−i−i1-1
χ101-11-1-1111-1-1111-11-111-1-1-1-11111-1-1-1-11-1-1-11111-1-11111-1-1-1-1-1-1111111-1-1-1-1i−iii−i−i11-1-1iiii−i−i−i−i11-1-1iiiiiiii−i−i−i−i−i−i−i−ii−ii−i11-1-111111111-1-1-1-1-1-1-1-1-11-11iiii−i−i−i−i−ii-11-11−i−iii−i−iii-11
χ111-11-1-1111-1-1111-11-111-1-1-1-11111-1-1-1-11-1-1-11111-1-11111-1-1-1-1-1-1111111-1-1-1-1i−iii−i−i11-1-1iiii−i−i−i−i11-1-1iiiiiiii−i−i−i−i−i−i−i−i−ii−ii-1-111-1-1-1-1-1-1-1-1111111111-11-1−i−i−i−iiiiii−i1-11-1ii−i−i−i−iii-11
χ121-11-1-1111-1-1111-11-111-1-1-1-11111-1-1-1-11-1-1-11111-1-11111-1-1-1-1-1-1111111-1-1-1-1i−iii−i−i11-1-1iiii−i−i−i−i11-1-1iiiiiiii−i−i−i−i−i−i−i−i−ii−ii-1-111-1-1-1-1-1-1-1-111111111-11-11−i−i−i−iiiii−ii-11-11−i−iiiii−i−i1-1
χ131-11-1-1111-1-1111-11-111-1-1-1-11111-1-1-1-11-1-1-11111-1-11111-1-1-1-1-1-1111111-1-1-1-1−ii−i−iii11-1-1−i−i−i−iiiii11-1-1−i−i−i−i−i−i−i−iiiiiiiiii−ii−i-1-111-1-1-1-1-1-1-1-1111111111-11-1iiii−i−i−i−i−ii1-11-1−i−iiiii−i−i-11
χ141-11-1-1111-1-1111-11-111-1-1-1-11111-1-1-1-11-1-1-11111-1-11111-1-1-1-1-1-1111111-1-1-1-1−ii−i−iii11-1-1−i−i−i−iiiii11-1-1−i−i−i−i−i−i−i−iiiiiiiiii−ii−i-1-111-1-1-1-1-1-1-1-111111111-11-11iiii−i−i−i−ii−i-11-11ii−i−i−i−iii1-1
χ151-11-1-1111-1-1111-11-111-1-1-1-11111-1-1-1-11-1-1-11111-1-11111-1-1-1-1-1-1111111-1-1-1-1−ii−i−iii11-1-1−i−i−i−iiiii11-1-1−i−i−i−i−i−i−i−iiiiiiiii−ii−ii11-1-111111111-1-1-1-1-1-1-1-11-11-1−i−i−i−iiiii−ii1-11-1−i−iii−i−iii1-1
χ161-11-1-1111-1-1111-11-111-1-1-1-11111-1-1-1-11-1-1-11111-1-11111-1-1-1-1-1-1111111-1-1-1-1−ii−i−iii11-1-1−i−i−i−iiiii11-1-1−i−i−i−i−i−i−i−iiiiiiiii−ii−ii11-1-111111111-1-1-1-1-1-1-1-1-11-11−i−i−i−iiiiii−i-11-11ii−i−iii−i−i-11
χ1722222222222−1−52−1+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+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+52−1−52−1−52−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+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+520000−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000000000
χ1822222222222−1−52−1+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+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+52−1−52−1−52−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-2-2-2-2-2-21+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−5200001+521+521−521−521+521+521−521−520000000000000000
χ1922222222222−1−52−1+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+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+52−1−52−1−52−1+52−1+52-2-2-2-2-2-2−1−52−1+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+521−521−521−521−522222-2-2-2-21+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−520000−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000000000
χ2022222222222−1−52−1+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+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+52−1−52−1−52−1+52−1+52-2-2-2-2-2-2−1−52−1+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+521−521−521−521−52-2-2-2-22222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200001+521+521−521−521+521+521−521−520000000000000000
χ2122222222222−1+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+52−1−52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52222222−1+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+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222222222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000000
χ2222222222222−1+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+52−1−52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52222222−1+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+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-2-2-2-2-21−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+5200001−521−521+521+521−521−521+521+520000000000000000
χ2322222222222−1+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+52−1−52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-2-2-2−1+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+522222-2-2-2-21−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+520000−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000000
χ2422222222222−1+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+52−1−52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-2-2-2−1+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+52-2-2-2-22222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200001−521−521+521+521−521−521+521+520000000000000000
χ252222222-2-2-2-222222222222-2-2-2-2-2-2-2-2222222-2-2-2-222-2-2-2-2222222-2-2-2-2-2-2-2-2000000222200000000-2-2-2-2000000000000000000000000000000000000000000000000000000000000002-22-200
χ262222222-2-2-2-222222222222-2-2-2-2-2-2-2-2222222-2-2-2-222-2-2-2-2222222-2-2-2-2-2-2-2-2000000222200000000-2-2-2-200000000000000000000000000000000000000000000000000000000000000-22-2200
χ27222222-1222222-1-1-122222222222222-1-12222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000022220000000022-1-1-1-1-1-1-1-1000000
χ28222222-1222222-1-1-122222222222222-1-12222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000-2-2-2-200000000-2-211111111000000
χ29222222-1222222-1-1-122222222222222-1-12222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-21111-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-11111111111111111000000000000000000000000222200000000-2-2-1-1-1-11111000000
χ30222222-1222222-1-1-122222222222222-1-12222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-21111-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-11111111111111111000000000000000000000000-2-2-2-200000000221111-1-1-1-1000000
χ312222-2-222-22-22222222222222222222-2-2-2-2-2-22-2-2222-2-2-2-222222222222222000000-2-2-2-200000000-2-2-2-2000000000000000000000000000000000000000022-2-2000000000022-2-20000000000
χ322222-2-222-22-22222222222222222222-2-2-2-2-2-22-2-2222-2-2-2-222222222222222000000-2-2-2-200000000-2-2-2-20000000000000000000000000000000000000000-2-2220000000000-2-2220000000000
χ332222-2-22-22-2222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222-2222222222222-2-2-2-2-2-2-2-2000000-2-2-2-2000000002222000000000000000022-2-20000000000000000000000002-22-22-22-20000000000000000
χ342222-2-22-22-2222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222-2222222222222-2-2-2-2-2-2-2-2000000-2-2-2-20000000022220000000000000000-2-222000000000000000000000000-22-22-22-220000000000000000
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Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.