Finite Group Databasebeta

← Group #12106930

Character table — Group #12106930

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176
size11111111222222222222222222222222222222222222222222222222222244444444444444444444444444444444444444444444444444448888888888888888888888888888888888888888202020202020202020202020202020204040404040404040
order1222222244444444444444444444551010101010101010101010101010202020202020202020202020202020204444202020202020202020202020202020202020202020202020202020202020202020202020202020202020202020202020444444442020202020202020202020202020202020202020202020202020202020202020222244444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ6111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ7111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ8111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ91111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1
χ101111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111
χ111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-111-1-111
χ121111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1111111-1-111-1-1
χ131111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111
χ141111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1
χ151111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1
χ161111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111
χ17111-1-1-1-111-1ii−i−iii−i−iii−i−i11-1-11-1111111-1-1-1-1-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i1-1i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i1111-1-1-1-1i−ii−i1-11-1iiii−i−i−i−i1111-1-1-1-11111-1-1-1-1iiii−i−i−i−i11-1-1ii−i−iii−i−i11-1-1i−i1-11-1i−i
χ18111-1-1-1-111-1ii−i−iii−i−iii−i−i11-1-11-1111111-1-1-1-1-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i1-1i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i1111-1-1-1-1i−ii−i1-11-1iiii−i−i−i−i1111-1-1-1-11111-1-1-1-1iiii−i−i−i−i-1-111−i−iii−i−iii-1-111−ii-11-11−ii
χ19111-1-1-1-111-1ii−i−iii−i−iii−i−i11-1-11-1111111-1-1-1-1-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i1-1i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i1111-1-1-1-1−ii−ii-11-11−i−i−i−iiiii-1-1-1-11111-1-1-1-11111−i−i−i−iiiii11-1-1ii−i−iii−i−i11-1-1−ii-11-11−ii
χ20111-1-1-1-111-1ii−i−iii−i−iii−i−i11-1-11-1111111-1-1-1-1-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i1-1i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i1111-1-1-1-1−ii−ii-11-11−i−i−i−iiiii-1-1-1-11111-1-1-1-11111−i−i−i−iiiii-1-111−i−iii−i−iii-1-111i−i1-11-1i−i
χ21111-1-1-1-111-1ii−i−iii−i−i−i−iii-1-1111-1111111-1-1-1-1-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i-11−ii1111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111−i−i−i−iiiii-1-1-1-11111i−i−ii1-1-11iiii−i−i−i−i1111-1-1-1-1-1-1-1-11111−i−i−i−iiiii11-1-1ii−i−i−i−iii-1-111i−i1-1-11−ii
χ22111-1-1-1-111-1ii−i−iii−i−i−i−iii-1-1111-1111111-1-1-1-1-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i-11−ii1111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111−i−i−i−iiiii-1-1-1-11111i−i−ii1-1-11iiii−i−i−i−i1111-1-1-1-1-1-1-1-11111−i−i−i−iiiii-1-111−i−iiiii−i−i11-1-1−ii-111-1i−i
χ23111-1-1-1-111-1ii−i−iii−i−i−i−iii-1-1111-1111111-1-1-1-1-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i-11−ii1111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111−i−i−i−iiiii-1-1-1-11111−iii−i-111-1−i−i−i−iiiii-1-1-1-111111111-1-1-1-1iiii−i−i−i−i11-1-1ii−i−i−i−iii-1-111−ii-111-1i−i
χ24111-1-1-1-111-1ii−i−iii−i−i−i−iii-1-1111-1111111-1-1-1-1-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i-11−ii1111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111−i−i−i−iiiii-1-1-1-11111−iii−i-111-1−i−i−i−iiiii-1-1-1-111111111-1-1-1-1iiii−i−i−i−i-1-111−i−iiiii−i−i11-1-1i−i1-1-11−ii
χ25111-1-1-1-111-1−i−iii−i−iiiii−i−i-1-1111-1111111-1-1-1-1-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii-11i−i1111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111iiii−i−i−i−i-1-1-1-11111i−i−ii-111-1iiii−i−i−i−i-1-1-1-111111111-1-1-1-1−i−i−i−iiiii11-1-1−i−iiiii−i−i-1-111i−i-111-1−ii
χ26111-1-1-1-111-1−i−iii−i−iiiii−i−i-1-1111-1111111-1-1-1-1-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii-11i−i1111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111iiii−i−i−i−i-1-1-1-11111i−i−ii-111-1iiii−i−i−i−i-1-1-1-111111111-1-1-1-1−i−i−i−iiiii-1-111ii−i−i−i−iii11-1-1−ii1-1-11i−i
χ27111-1-1-1-111-1−i−iii−i−iiiii−i−i-1-1111-1111111-1-1-1-1-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii-11i−i1111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111iiii−i−i−i−i-1-1-1-11111−iii−i1-1-11−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111iiii−i−i−i−i11-1-1−i−iiiii−i−i-1-111−ii1-1-11i−i
χ28111-1-1-1-111-1−i−iii−i−iiiii−i−i-1-1111-1111111-1-1-1-1-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii-11i−i1111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111iiii−i−i−i−i-1-1-1-11111−iii−i1-1-11−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111iiii−i−i−i−i-1-111ii−i−i−i−iii11-1-1i−i-111-1−ii
χ29111-1-1-1-111-1−i−iii−i−iii−i−iii11-1-11-1111111-1-1-1-1-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii1-1−ii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii1111-1-1-1-1i−ii−i-11-11iiii−i−i−i−i-1-1-1-11111-1-1-1-11111iiii−i−i−i−i11-1-1−i−iii−i−iii11-1-1i−i-11-11i−i
χ30111-1-1-1-111-1−i−iii−i−iii−i−iii11-1-11-1111111-1-1-1-1-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii1-1−ii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii1111-1-1-1-1i−ii−i-11-11iiii−i−i−i−i-1-1-1-11111-1-1-1-11111iiii−i−i−i−i-1-111ii−i−iii−i−i-1-111−ii1-11-1−ii
χ31111-1-1-1-111-1−i−iii−i−iii−i−iii11-1-11-1111111-1-1-1-1-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii1-1−ii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii1111-1-1-1-1−ii−ii1-11-1−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1−i−i−i−iiiii11-1-1−i−iii−i−iii11-1-1−ii1-11-1−ii
χ32111-1-1-1-111-1−i−iii−i−iii−i−iii11-1-11-1111111-1-1-1-1-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii1-1−ii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii1111-1-1-1-1−ii−ii1-11-1−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1−i−i−i−iiiii-1-111ii−i−iii−i−i-1-111i−i-11-11i−i
χ332222222222222222222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000000000000000
χ342222222222222222222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+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+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52000000000000000000000000
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χ1704-4-4-4-4444000000000000004-4-4400−1−5−1+51+51+51−51−51+5−1−5−1−51−5−1+5−1+5−1−5−1+51+51−52ζ3−2ζ7−2ζ3+2ζ7−2ζ3+2ζ72ζ3−2ζ7−2ζ11+2ζ192ζ11−2ζ192ζ11−2ζ19−2ζ11+2ζ19−2ζ3+2ζ72ζ3−2ζ72ζ3−2ζ7−2ζ3+2ζ72ζ11−2ζ19−2ζ11+2ζ19−2ζ11+2ζ192ζ11−2ζ190000000000000000000000000000000000002ζ3−2ζ7−2ζ3+2ζ7−2ζ11+2ζ192ζ11−2ζ19−2ζ3+2ζ72ζ3−2ζ72ζ11−2ζ19−2ζ11+2ζ19−1−51+5−1+51−51+5−1−51−5−1+50000000000000000000000000000000000000000000000000000000000000000
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χ1754-4-4-4-444400000000000000-444-400−1−5−1+51+51+51−51−51+5−1−5−1−51−5−1+5−1+5−1−5−1+51+51−52ζ3−2ζ7−2ζ3+2ζ7−2ζ3+2ζ72ζ3−2ζ7−2ζ11+2ζ192ζ11−2ζ192ζ11−2ζ19−2ζ11+2ζ19−2ζ3+2ζ72ζ3−2ζ72ζ3−2ζ7−2ζ3+2ζ72ζ11−2ζ19−2ζ11+2ζ19−2ζ11+2ζ192ζ11−2ζ19000000000000000000000000000000000000−2ζ3+2ζ72ζ3−2ζ72ζ11−2ζ19−2ζ11+2ζ192ζ3−2ζ7−2ζ3+2ζ7−2ζ11+2ζ192ζ11−2ζ191+5−1−51−5−1+5−1−51+5−1+51−50000000000000000000000000000000000000000000000000000000000000000
χ1764-4-4-4-444400000000000000-444-400−1−5−1+51+51+51−51−51+5−1−5−1−51−5−1+5−1+5−1−5−1+51+51−5−2ζ3+2ζ72ζ3−2ζ72ζ3−2ζ7−2ζ3+2ζ72ζ11−2ζ19−2ζ11+2ζ19−2ζ11+2ζ192ζ11−2ζ192ζ3−2ζ7−2ζ3+2ζ7−2ζ3+2ζ72ζ3−2ζ7−2ζ11+2ζ192ζ11−2ζ192ζ11−2ζ19−2ζ11+2ζ190000000000000000000000000000000000002ζ3−2ζ7−2ζ3+2ζ7−2ζ11+2ζ192ζ11−2ζ19−2ζ3+2ζ72ζ3−2ζ72ζ11−2ζ19−2ζ11+2ζ191+5−1−51−5−1+5−1−51+5−1+51−50000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 20 (ζ20 = 1); i = ζ5.