Finite Group Databasebeta

← Group #17952553

Character table — Group #17952553

Order 4352.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164
size1111111144444444444444444444444444444444444444888888888888888888888888888888888888888888888888888816161616161616161616161616161616161616161616161616161616161616163434343434343434343434346868136136136136136136136136136136136136136136136136136136136136
order122222224444441717171734343434343434343434343434343434343434343434343434343434444468686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868684444444444442222228888888888888888
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
χ172222222222-2-2-2-22222222222222222222222222222222200002222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000022222222-2-2-2-2-2-200000000000000000000
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
χ21222-2-22-2-2002-200222222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-20000000000000000000022222222-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000002i2i−2i−2i00002i2i−2i−2i0000001+i−1−i1+i−1−i00001−i−1+i1−i−1+i0000
χ22222-2-22-2-2002-200222222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-20000000000000000000022222222-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000002i2i−2i−2i00002i2i−2i−2i000000−1−i1+i−1−i1+i0000−1+i1−i−1+i1−i0000
χ23222-2-22-2-2002-200222222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-20000000000000000000022222222-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000−2i−2i2i2i0000−2i−2i2i2i0000001−i−1+i1−i−1+i00001+i−1−i1+i−1−i0000
χ24222-2-22-2-2002-200222222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-20000000000000000000022222222-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000−2i−2i2i2i0000−2i−2i2i2i000000−1+i1−i−1+i1−i0000−1−i1+i−1−i1+i0000
χ25222-2-22-2-200-2200222222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-200000000000000000000-2-2-2-2-2-2-2-2222222220000000000000000000000000000000000000000000000002i2i−2i−2i0000−2i−2i2i2i0000001−i−1+i−1+i1−i0000−1−i1+i1+i−1−i0000
χ26222-2-22-2-200-2200222222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-200000000000000000000-2-2-2-2-2-2-2-2222222220000000000000000000000000000000000000000000000002i2i−2i−2i0000−2i−2i2i2i000000−1+i1−i1−i−1+i00001+i−1−i−1−i1+i0000
χ27222-2-22-2-200-2200222222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-200000000000000000000-2-2-2-2-2-2-2-222222222000000000000000000000000000000000000000000000000−2i−2i2i2i00002i2i−2i−2i0000001+i−1−i−1−i1+i0000−1+i1−i1−i−1+i0000
χ28222-2-22-2-200-2200222222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-200000000000000000000-2-2-2-2-2-2-2-222222222000000000000000000000000000000000000000000000000−2i−2i2i2i00002i2i−2i−2i000000−1−i1+i1+i−1−i00001−i−1+i−1+i1−i0000
χ2922-22-2-22-22-2000022222222-2-2-2-22222-2-2-2-2-2-2-2-22222-2-2-2-2000022222222-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000000000000000002i−2i2i−2i2i2i−2i−2i000000000000001−i−1+i1−i−1+i00001+i−1−i1+i−1−i
χ3022-22-2-22-22-2000022222222-2-2-2-22222-2-2-2-2-2-2-2-22222-2-2-2-2000022222222-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000000000000000002i−2i2i−2i2i2i−2i−2i00000000000000−1+i1−i−1+i1−i0000−1−i1+i−1−i1+i
χ3122-22-2-22-22-2000022222222-2-2-2-22222-2-2-2-2-2-2-2-22222-2-2-2-2000022222222-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000000000000000000−2i2i−2i2i−2i−2i2i2i000000000000001+i−1−i1+i−1−i00001−i−1+i1−i−1+i
χ3222-22-2-22-22-2000022222222-2-2-2-22222-2-2-2-2-2-2-2-22222-2-2-2-2000022222222-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000000000000000000−2i2i−2i2i−2i−2i2i2i00000000000000−1−i1+i−1−i1+i0000−1+i1−i−1+i1−i
χ3322-22-2-22-2-22000022222222-2-2-2-22222-2-2-2-2-2-2-2-22222-2-2-2-20000-2-2-2-2-2-2-2-22222222200000000000000000000000000000000000000000000000000000000000000002i−2i2i−2i−2i−2i2i2i000000000000001+i−1−i−1−i1+i0000−1+i1−i1−i−1+i
χ3422-22-2-22-2-22000022222222-2-2-2-22222-2-2-2-2-2-2-2-22222-2-2-2-20000-2-2-2-2-2-2-2-22222222200000000000000000000000000000000000000000000000000000000000000002i−2i2i−2i−2i−2i2i2i00000000000000−1−i1+i1+i−1−i00001−i−1+i−1+i1−i
χ3522-22-2-22-2-22000022222222-2-2-2-22222-2-2-2-2-2-2-2-22222-2-2-2-20000-2-2-2-2-2-2-2-2222222220000000000000000000000000000000000000000000000000000000000000000−2i2i−2i2i2i2i−2i−2i000000000000001−i−1+i−1+i1−i0000−1−i1+i1+i−1−i
χ3622-22-2-22-2-22000022222222-2-2-2-22222-2-2-2-2-2-2-2-22222-2-2-2-20000-2-2-2-2-2-2-2-2222222220000000000000000000000000000000000000000000000000000000000000000−2i2i−2i2i2i2i−2i−2i00000000000000−1+i1−i1−i−1+i00001+i−1−i−1−i1+i
χ372-2-2-2-222200002-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222222222002-20000000000000000000000000000000022222222-2-2-2-2-2-2-2-2000000000000000022222222-2-2-2-2-2-2-2-200002-22-22-22-2002-2000000000000000000
χ382-2-2-2-222200002-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222222222002-20000000000000000000000000000000022222222-2-2-2-2-2-2-2-2000000000000000022222222-2-2-2-2-2-2-2-20000-22-22-22-2200-22000000000000000000
χ392-2-2-2-222200002-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222222200-220000000000000000000000000000000022222222-2-2-2-2-2-2-2-20000000000000000-2-2-2-2-2-2-2-22222222200002-22-22-22-200-22000000000000000000
χ402-2-2-2-222200002-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222222200-220000000000000000000000000000000022222222-2-2-2-2-2-2-2-20000000000000000-2-2-2-2-2-2-2-2222222220000-22-22-22-22002-2000000000000000000
χ412-2-2-2-22220000-222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222222222-20000000000000000000000000000000000-2-2-2-2-2-2-2-22222222222222222-2-2-2-2-2-2-2-2000000000000000000002-22-2-22-2200002-20000000000000000
χ422-2-2-2-22220000-222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222222222-20000000000000000000000000000000000-2-2-2-2-2-2-2-22222222222222222-2-2-2-2-2-2-2-200000000000000000000-22-222-22-20000-220000000000000000
χ432-2-2-2-22220000-222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222222222-220000000000000000000000000000000000-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-222222222000000000000000000002-22-2-22-220000-220000000000000000
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Here ζ is a primitive root of unity of order 68 (ζ68 = 1); i = ζ17.