Finite Group Databasebeta

← Group #14416740

Character table — Group #14416740

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168
size11112222222222222222222222444444444444444444444444444444444444444444445555888888888888888888888888888888881010101010101010101010101010121212121212121220202020202020202020202020202020242424242424242424242424242424246060606060606060
order122222344445566610101010101012121212668888101010101212151520202020202020202424242424242424303030303030606060606060606044443030303040404040404040406060606012012012012012012012012012012012012012012012012044444412121212121212122244444488881212121224242424242424241010101020202020202020202020202022224444
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
χ51111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ61111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ71111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ81111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ91111-1-11-1-111111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-111
χ101111-1-11-1-111111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1
χ111111-1-11-1-111111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-11111-1-1
χ121111-1-11-1-111111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-111
χ131111-1-11-1-111111111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-111
χ141111-1-11-1-111111111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-111-1-1
χ151111-1-11-1-111111111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1
χ161111-1-11-1-111111111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111
χ1711-1-11-111-1-11111-1-1-1-111-1-1-1-1111-1i−ii−i11-1-11-1111111-1-1-1-1ii−i−iii−i−i-1-1-1-1111111-1-1-1-1ii−i−i11-1-1ii−i−iii−i−i11-1-1iiii−i−i−i−iiiii−i−i−i−ii−ii−ii−iiiii−i−i−i−i1-11-1i−ii−i1-11-1ii−i−i11-1-111-1-111-1-111-1-1ii−i−iii−i−i1-11-1i−ii−i
χ1811-1-11-111-1-11111-1-1-1-111-1-1-1-1111-1i−ii−i11-1-11-1111111-1-1-1-1ii−i−iii−i−i-1-1-1-1111111-1-1-1-1ii−i−i11-1-1ii−i−iii−i−i11-1-1iiii−i−i−i−iiiii−i−i−i−ii−ii−ii−iiiii−i−i−i−i-11-11−ii−ii1-11-1ii−i−i11-1-111-1-1-1-111-1-111−i−iii−i−iii-11-11−ii−ii
χ1911-1-11-111-1-11111-1-1-1-111-1-1-1-1111-1i−ii−i11-1-11-1111111-1-1-1-1ii−i−iii−i−i-1-1-1-1111111-1-1-1-1−i−iii11-1-1ii−i−iii−i−i11-1-1iiii−i−i−i−iiiii−i−i−i−i−ii−ii−ii−i−i−i−iiiii1-11-1i−ii−i-11-11−i−iii-1-111-1-11111-1-111-1-1ii−i−iii−i−i-11-11−ii−ii
χ2011-1-11-111-1-11111-1-1-1-111-1-1-1-1111-1i−ii−i11-1-11-1111111-1-1-1-1ii−i−iii−i−i-1-1-1-1111111-1-1-1-1−i−iii11-1-1ii−i−iii−i−i11-1-1iiii−i−i−i−iiiii−i−i−i−i−ii−ii−ii−i−i−i−iiiii-11-11−ii−ii-11-11−i−iii-1-111-1-111-1-111-1-111−i−iii−i−iii1-11-1i−ii−i
χ2111-1-11-111-1-11111-1-1-1-111-1-1-1-1111-1−ii−ii11-1-11-1111111-1-1-1-1−i−iii−i−iii-1-1-1-1111111-1-1-1-1ii−i−i11-1-1−i−iii−i−iii11-1-1−i−i−i−iiiii−i−i−i−iiiiii−ii−ii−iiiii−i−i−i−i1-11-1−ii−ii-11-11ii−i−i-1-111-1-11111-1-111-1-1−i−iii−i−iii-11-11i−ii−i
χ2211-1-11-111-1-11111-1-1-1-111-1-1-1-1111-1−ii−ii11-1-11-1111111-1-1-1-1−i−iii−i−iii-1-1-1-1111111-1-1-1-1ii−i−i11-1-1−i−iii−i−iii11-1-1−i−i−i−iiiii−i−i−i−iiiiii−ii−ii−iiiii−i−i−i−i-11-11i−ii−i-11-11ii−i−i-1-111-1-111-1-111-1-111ii−i−iii−i−i1-11-1−ii−ii
χ2311-1-11-111-1-11111-1-1-1-111-1-1-1-1111-1−ii−ii11-1-11-1111111-1-1-1-1−i−iii−i−iii-1-1-1-1111111-1-1-1-1−i−iii11-1-1−i−iii−i−iii11-1-1−i−i−i−iiiii−i−i−i−iiiii−ii−ii−ii−i−i−i−iiiii1-11-1−ii−ii1-11-1−i−iii11-1-111-1-111-1-111-1-1−i−iii−i−iii1-11-1−ii−ii
χ2411-1-11-111-1-11111-1-1-1-111-1-1-1-1111-1−ii−ii11-1-11-1111111-1-1-1-1−i−iii−i−iii-1-1-1-1111111-1-1-1-1−i−iii11-1-1−i−iii−i−iii11-1-1−i−i−i−iiiii−i−i−i−iiiii−ii−ii−ii−i−i−i−iiiii-11-11i−ii−i1-11-1−i−iii11-1-111-1-1-1-111-1-111ii−i−iii−i−i-11-11i−ii−i
χ2511-1-1-111-11-11111-1-1-1-111-1-1-1-111-11i−i−ii-1-111-111111-1-111-1-1ii−i−i−i−iii-1-1-1-1111111-1-1-1-1ii−i−i-1-111ii−i−i−i−iii-1-111iiii−i−i−i−i−i−i−i−iiiiii−i−ii−iiiiii−i−i−i−i1-1-11i−i−ii1-1-11−i−iii11-1-1-1-11111-1-1-1-111ii−i−i−i−iii1-1-11−iii−i
χ2611-1-1-111-11-11111-1-1-1-111-1-1-1-111-11i−i−ii-1-111-111111-1-111-1-1ii−i−i−i−iii-1-1-1-1111111-1-1-1-1ii−i−i-1-111ii−i−i−i−iii-1-111iiii−i−i−i−i−i−i−i−iiiiii−i−ii−iiiiii−i−i−i−i-111-1−iii−i1-1-11−i−iii11-1-1-1-111-1-11111-1-1−i−iiiii−i−i-111-1i−i−ii
χ2711-1-1-111-11-11111-1-1-1-111-1-1-1-111-11i−i−ii-1-111-111111-1-111-1-1ii−i−i−i−iii-1-1-1-1111111-1-1-1-1−i−iii-1-111ii−i−i−i−iii-1-111iiii−i−i−i−i−i−i−i−iiiii−iii−ii−i−i−i−i−iiiii1-1-11i−i−ii-111-1ii−i−i-1-11111-1-111-1-1-1-111ii−i−i−i−iii-111-1i−i−ii
χ2811-1-1-111-11-11111-1-1-1-111-1-1-1-111-11i−i−ii-1-111-111111-1-111-1-1ii−i−i−i−iii-1-1-1-1111111-1-1-1-1−i−iii-1-111ii−i−i−i−iii-1-111iiii−i−i−i−i−i−i−i−iiiii−iii−ii−i−i−i−i−iiiii-111-1−iii−i-111-1ii−i−i-1-11111-1-1-1-11111-1-1−i−iiiii−i−i1-1-11−iii−i
χ2911-1-1-111-11-11111-1-1-1-111-1-1-1-111-11−iii−i-1-111-111111-1-111-1-1−i−iiiii−i−i-1-1-1-1111111-1-1-1-1ii−i−i-1-111−i−iiiii−i−i-1-111−i−i−i−iiiiiiiii−i−i−i−ii−i−ii−iiiiii−i−i−i−i1-1-11−iii−i-111-1−i−iii-1-11111-1-111-1-1-1-111−i−iiiii−i−i-111-1−iii−i
χ3011-1-1-111-11-11111-1-1-1-111-1-1-1-111-11−iii−i-1-111-111111-1-111-1-1−i−iiiii−i−i-1-1-1-1111111-1-1-1-1ii−i−i-1-111−i−iiiii−i−i-1-111−i−i−i−iiiiiiiii−i−i−i−ii−i−ii−iiiiii−i−i−i−i-111-1i−i−ii-111-1−i−iii-1-11111-1-1-1-11111-1-1ii−i−i−i−iii1-1-11i−i−ii
χ3111-1-1-111-11-11111-1-1-1-111-1-1-1-111-11−iii−i-1-111-111111-1-111-1-1−i−iiiii−i−i-1-1-1-1111111-1-1-1-1−i−iii-1-111−i−iiiii−i−i-1-111−i−i−i−iiiiiiiii−i−i−i−i−iii−ii−i−i−i−i−iiiii1-1-11−iii−i1-1-11ii−i−i11-1-1-1-11111-1-1-1-111−i−iiiii−i−i1-1-11i−i−ii
χ3211-1-1-111-11-11111-1-1-1-111-1-1-1-111-11−iii−i-1-111-111111-1-111-1-1−i−iiiii−i−i-1-1-1-1111111-1-1-1-1−i−iii-1-111−i−iiiii−i−i-1-111−i−i−i−iiiiiiiii−i−i−i−i−iii−ii−i−i−i−i−iiiii-111-1i−i−ii1-1-11ii−i−i11-1-1-1-111-1-11111-1-1ii−i−i−i−iii-111-1−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+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+521−521−52000000000000002222-2-2-2-20000000000000000−1−52−1+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+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+521−521−5200000000000000-2-2-2-2222200000000000000001+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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χ13844-4-4-44-24-44-4−1−5−1+5-2221+51−5−1−5−1+51+51−5-2-2222-200001+51−5−1−5−1+5-221+521−521+51−5−1−5−1+51+51−5−1−5−1+52i3−2i3−2i32i3−2i32i32i3−2i3−1−52−1−52−1+52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−520000−1−52−1+521+521−52000000001+521−52−1−52−1+52−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ5800000000000000000000000000000000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.