Finite Group Databasebeta

← Group #17949922

Character table — Group #17949922

Order 4352.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164
size1111111144444444444444444444444444444444444444888888888888888888888888888888888888888888888888888816161616161616161616161616161616161616161616161616161616161616163434343434343434343434346868136136136136136136136136136136136136136136136136136136136136
order122222224444441717171734343434343434343434343434343434343434343434343434343434444468686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868684444444444444444448888888888888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii
χ51111111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ61111111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ71111111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii
χ81111111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i
χ911111111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1ii−i−iii−i−iii−i−iii−i−i
χ1011111111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1−i−iii−i−iii−i−iii−i−iii
χ1111111111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-111-1-111
χ1211111111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-11111-1-111-1-1
χ1311111111-1-1-1-11111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111-1-111ii−i−i−i−iiiii−i−i−i−iii
χ1411111111-1-1-1-11111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111-1-111−i−iiiii−i−i−i−iiiii−i−i
χ1511111111-1-1-1-11111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111111-1-111-1-111-1-1-1-111-1-11111-1-1
χ1611111111-1-1-1-11111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111111-1-111-1-1-1-11111-1-111-1-1-1-111
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χ182222222222-2-2-2-22222222222222222222222222222222200002222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000-2-2-2-2-2-2-2-222222200000000000000000000
χ1922222222-2-222-2-2222222222222222222222222222222220000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000002222-2-2-2-22222-2-200000000000000000000
χ2022222222-2-222-2-2222222222222222222222222222222220000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000-2-2-2-22222-2-2-2-22200000000000000000000
χ212222-2-2-2-200002-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222222222002-20000000000000000000000000000000022222222-2-2-2-2-2-2-2-2000000000000000022222222-2-2-2-2-2-2-2-200002i2i−2i−2i2i2i−2i−2i002i−2i000000000000000000
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χ232222-2-2-2-200002-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222222200-220000000000000000000000000000000022222222-2-2-2-2-2-2-2-20000000000000000-2-2-2-2-2-2-2-22222222200002i2i−2i−2i2i2i−2i−2i00−2i2i000000000000000000
χ242222-2-2-2-200002-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222222200-220000000000000000000000000000000022222222-2-2-2-2-2-2-2-20000000000000000-2-2-2-2-2-2-2-2222222220000−2i−2i2i2i−2i−2i2i2i002i−2i000000000000000000
χ252222-2-2-2-20000-222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222222222-20000000000000000000000000000000000-2-2-2-2-2-2-2-22222222222222222-2-2-2-2-2-2-2-2000000000000000000002i2i−2i−2i−2i−2i2i2i00002i−2i0000000000000000
χ262222-2-2-2-20000-222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222222222-20000000000000000000000000000000000-2-2-2-2-2-2-2-22222222222222222-2-2-2-2-2-2-2-200000000000000000000−2i−2i2i2i2i2i−2i−2i0000−2i2i0000000000000000
χ272222-2-2-2-20000-222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222222222-220000000000000000000000000000000000-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-222222222000000000000000000002i2i−2i−2i−2i−2i2i2i0000−2i2i0000000000000000
χ282222-2-2-2-20000-222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222222222-220000000000000000000000000000000000-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-22222222200000000000000000000−2i−2i2i2i2i2i−2i−2i00002i−2i0000000000000000
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χ3022-2-22-2-22002-200222222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-20000000000000000000022222222-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000002i2i−2i−2i00002i−2i2i−2i000000−1−i1+i−1−i1+i0000−1+i1−i−1+i1−i0000
χ3122-2-22-2-22002-200222222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-20000000000000000000022222222-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000−2i−2i2i2i0000−2i2i−2i2i0000001−i−1+i1−i−1+i00001+i−1−i1+i−1−i0000
χ3222-2-22-2-22002-200222222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-20000000000000000000022222222-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000−2i−2i2i2i0000−2i2i−2i2i000000−1+i1−i−1+i1−i0000−1−i1+i−1−i1+i0000
χ3322-2-22-2-2200-2200222222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-200000000000000000000-2-2-2-2-2-2-2-2222222220000000000000000000000000000000000000000000000002i2i−2i−2i0000−2i2i−2i2i0000001−i−1+i−1+i1−i0000−1−i1+i1+i−1−i0000
χ3422-2-22-2-2200-2200222222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-200000000000000000000-2-2-2-2-2-2-2-2222222220000000000000000000000000000000000000000000000002i2i−2i−2i0000−2i2i−2i2i000000−1+i1−i1−i−1+i00001+i−1−i−1−i1+i0000
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χ402-22-2-22-222-2000022222222-2-2-2-22222-2-2-2-2-2-2-2-22222-2-2-2-2000022222222-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000000000000000000−2i2i−2i2i−2i2i−2i2i00000000000000−1−i1+i−1−i1+i0000−1+i1−i−1+i1−i
χ412-22-2-22-22-22000022222222-2-2-2-22222-2-2-2-2-2-2-2-22222-2-2-2-20000-2-2-2-2-2-2-2-22222222200000000000000000000000000000000000000000000000000000000000000002i−2i2i−2i−2i2i−2i2i000000000000001+i−1−i−1−i1+i0000−1+i1−i1−i−1+i
χ422-22-2-22-22-22000022222222-2-2-2-22222-2-2-2-2-2-2-2-22222-2-2-2-20000-2-2-2-2-2-2-2-22222222200000000000000000000000000000000000000000000000000000000000000002i−2i2i−2i−2i2i−2i2i00000000000000−1−i1+i1+i−1−i00001−i−1+i−1+i1−i
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χ1638-8-88-8-888000000−2ζ2−2ζ26−2ζ42−2ζ66−2ζ14−2ζ22−2ζ46−2ζ54−2ζ6−2ζ10−2ζ58−2ζ62−2ζ18−2ζ30−2ζ38−2ζ50−2ζ2−2ζ26−2ζ42−2ζ66−2ζ14−2ζ22−2ζ46−2ζ54−2ζ6−2ζ10−2ζ58−2ζ62−2ζ18−2ζ30−2ζ38−2ζ502ζ2+2ζ26+2ζ42+2ζ662ζ14+2ζ22+2ζ46+2ζ542ζ6+2ζ10+2ζ58+2ζ622ζ18+2ζ30+2ζ38+2ζ502ζ2+2ζ26+2ζ42+2ζ662ζ14+2ζ22+2ζ46+2ζ542ζ6+2ζ10+2ζ58+2ζ622ζ18+2ζ30+2ζ38+2ζ50−2ζ2−2ζ26−2ζ42−2ζ66−2ζ14−2ζ22−2ζ46−2ζ54−2ζ6−2ζ10−2ζ58−2ζ62−2ζ18−2ζ30−2ζ38−2ζ502ζ2+2ζ26+2ζ42+2ζ662ζ14+2ζ22+2ζ46+2ζ542ζ6+2ζ10+2ζ58+2ζ622ζ18+2ζ30+2ζ38+2ζ502ζ2+2ζ26+2ζ42+2ζ662ζ14+2ζ22+2ζ46+2ζ542ζ6+2ζ10+2ζ58+2ζ622ζ18+2ζ30+2ζ38+2ζ50−2ζ2−2ζ26−2ζ42−2ζ66−2ζ14−2ζ22−2ζ46−2ζ54−2ζ6−2ζ10−2ζ58−2ζ62−2ζ18−2ζ30−2ζ38−2ζ500000000000000000000000000000000000002ζ2−2ζ26−2ζ42+2ζ66−2ζ2+2ζ26+2ζ42−2ζ66−2ζ14+2ζ22+2ζ46−2ζ542ζ14−2ζ22−2ζ46+2ζ542ζ6−2ζ10−2ζ58+2ζ62−2ζ6+2ζ10+2ζ58−2ζ62−2ζ18+2ζ30+2ζ38−2ζ502ζ18−2ζ30−2ζ38+2ζ50−2ζ2+2ζ26+2ζ42−2ζ662ζ2−2ζ26−2ζ42+2ζ662ζ14−2ζ22−2ζ46+2ζ54−2ζ14+2ζ22+2ζ46−2ζ54−2ζ6+2ζ10+2ζ58−2ζ622ζ6−2ζ10−2ζ58+2ζ622ζ18−2ζ30−2ζ38+2ζ50−2ζ18+2ζ30+2ζ38−2ζ50000000000000000000000000000000000000000000000000000000000000000000
χ1648-8-88-8-888000000−2ζ2−2ζ26−2ζ42−2ζ66−2ζ14−2ζ22−2ζ46−2ζ54−2ζ6−2ζ10−2ζ58−2ζ62−2ζ18−2ζ30−2ζ38−2ζ50−2ζ2−2ζ26−2ζ42−2ζ66−2ζ14−2ζ22−2ζ46−2ζ54−2ζ6−2ζ10−2ζ58−2ζ62−2ζ18−2ζ30−2ζ38−2ζ502ζ2+2ζ26+2ζ42+2ζ662ζ14+2ζ22+2ζ46+2ζ542ζ6+2ζ10+2ζ58+2ζ622ζ18+2ζ30+2ζ38+2ζ502ζ2+2ζ26+2ζ42+2ζ662ζ14+2ζ22+2ζ46+2ζ542ζ6+2ζ10+2ζ58+2ζ622ζ18+2ζ30+2ζ38+2ζ50−2ζ2−2ζ26−2ζ42−2ζ66−2ζ14−2ζ22−2ζ46−2ζ54−2ζ6−2ζ10−2ζ58−2ζ62−2ζ18−2ζ30−2ζ38−2ζ502ζ2+2ζ26+2ζ42+2ζ662ζ14+2ζ22+2ζ46+2ζ542ζ6+2ζ10+2ζ58+2ζ622ζ18+2ζ30+2ζ38+2ζ502ζ2+2ζ26+2ζ42+2ζ662ζ14+2ζ22+2ζ46+2ζ542ζ6+2ζ10+2ζ58+2ζ622ζ18+2ζ30+2ζ38+2ζ50−2ζ2−2ζ26−2ζ42−2ζ66−2ζ14−2ζ22−2ζ46−2ζ54−2ζ6−2ζ10−2ζ58−2ζ62−2ζ18−2ζ30−2ζ38−2ζ50000000000000000000000000000000000000−2ζ2+2ζ26+2ζ42−2ζ662ζ2−2ζ26−2ζ42+2ζ662ζ14−2ζ22−2ζ46+2ζ54−2ζ14+2ζ22+2ζ46−2ζ54−2ζ6+2ζ10+2ζ58−2ζ622ζ6−2ζ10−2ζ58+2ζ622ζ18−2ζ30−2ζ38+2ζ50−2ζ18+2ζ30+2ζ38−2ζ502ζ2−2ζ26−2ζ42+2ζ66−2ζ2+2ζ26+2ζ42−2ζ66−2ζ14+2ζ22+2ζ46−2ζ542ζ14−2ζ22−2ζ46+2ζ542ζ6−2ζ10−2ζ58+2ζ62−2ζ6+2ζ10+2ζ58−2ζ62−2ζ18+2ζ30+2ζ38−2ζ502ζ18−2ζ30−2ζ38+2ζ50000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 68 (ζ68 = 1); i = ζ17.