Finite Group Databasebeta

← Group #14782880

Character table — Group #14782880

Order 2816.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182
size1111222222444488888888888822224444448888161616161616161616161616222244444488881616161616161616161616162222444444888816161616161616161616161622224444448888161616161616161616161616222244444488881616161616161616161616161111111122222222222244444444888888888888888888888888
order122222444488884444448888881122222222224444444488888888444444444444888888888888112222222222444444448888888844444444444488888888888811222222222244444444888888884444444444448888888888881122222222224444444488888888444444444444888888888888112222222222444444448888888844444444444488888888888822222244448888444444888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-111
χ311111111111111-1-11111-1-1-1-1-1-111111111111111-1-11111-1-1-1-1-1-111111111111111-1-11111-1-1-1-1-1-111111111111111-1-11111-1-1-1-1-1-111111111111111-1-11111-1-1-1-1-1-111111111111111-1-11111-1-1-1-1-1-111111111111111-1-11111-1-1-1-1-1-1
χ411111111111111-1-1-1-1-1-11111-1-111111111111111-1-1-1-1-1-11111-1-111111111111111-1-1-1-1-1-11111-1-111111111111111-1-1-1-1-1-11111-1-111111111111111-1-1-1-1-1-11111-1-111111111111111-1-1-1-1-1-11111-1-111111111111111-1-1-1-1-1-11111-1-1
χ51111111111-1-1-1-11111-1-111-1-1-1-11111111111-1-1-1-11111-1-111-1-1-1-11111111111-1-1-1-11111-1-111-1-1-1-11111111111-1-1-1-11111-1-111-1-1-1-11111111111-1-1-1-11111-1-111-1-1-1-11111111111-1-1-1-11111-1-111-1-1-1-11111111111-1-1-1-11111-1-111-1-1-1-1
χ61111111111-1-1-1-111-1-111-1-111-1-11111111111-1-1-1-111-1-111-1-111-1-11111111111-1-1-1-111-1-111-1-111-1-11111111111-1-1-1-111-1-111-1-111-1-11111111111-1-1-1-111-1-111-1-111-1-11111111111-1-1-1-111-1-111-1-111-1-11111111111-1-1-1-111-1-111-1-111-1-1
χ71111111111-1-1-1-1-1-111-1-1-1-111111111111111-1-1-1-1-1-111-1-1-1-111111111111111-1-1-1-1-1-111-1-1-1-111111111111111-1-1-1-1-1-111-1-1-1-111111111111111-1-1-1-1-1-111-1-1-1-111111111111111-1-1-1-1-1-111-1-1-1-111111111111111-1-1-1-1-1-111-1-1-1-11111
χ81111111111-1-1-1-1-1-1-1-11111-1-1111111111111-1-1-1-1-1-1-1-11111-1-1111111111111-1-1-1-1-1-1-1-11111-1-1111111111111-1-1-1-1-1-1-1-11111-1-1111111111111-1-1-1-1-1-1-1-11111-1-1111111111111-1-1-1-1-1-1-1-11111-1-1111111111111-1-1-1-1-1-1-1-11111-1-111
χ9222222-2-2-2-2000000000000002i−2i222222-2-2-2-2000000000000002i−2i222222-2-2-2-2000000000000002i−2i222222-2-2-2-2000000000000002i−2i222222-2-2-2-2000000000000002i−2i222222-2-2-2-2000000000000002i−2i222222-2-2-2-2000000000000002i−2i
χ10222222-2-2-2-200000000000000−2i2i222222-2-2-2-200000000000000−2i2i222222-2-2-2-200000000000000−2i2i222222-2-2-2-200000000000000−2i2i222222-2-2-2-200000000000000−2i2i222222-2-2-2-200000000000000−2i2i222222-2-2-2-200000000000000−2i2i
χ112222-2-22-2-2222-2-20000000000002222-2-22-2-2222-2-20000000000002222-2-22-2-2222-2-20000000000002222-2-22-2-2222-2-20000000000002222-2-22-2-2222-2-20000000000002222-2-22-2-2222-2-20000000000002222-2-22-2-2222-2-2000000000000
χ122222-2-22-2-22-2-2220000000000002222-2-22-2-22-2-2220000000000002222-2-22-2-22-2-2220000000000002222-2-22-2-22-2-2220000000000002222-2-22-2-22-2-2220000000000002222-2-22-2-22-2-2220000000000002222-2-22-2-22-2-222000000000000
χ132222-2-2-222-200002-200000000002222-2-2-222-200002-200000000002222-2-2-222-200002-200000000002222-2-2-222-200002-200000000002222-2-2-222-200002-200000000002222-2-2-222-200002-200000000002222-2-2-222-200002-20000000000
χ142222-2-2-222-20000-2200000000002222-2-2-222-20000-2200000000002222-2-2-222-20000-2200000000002222-2-2-222-20000-2200000000002222-2-2-222-20000-2200000000002222-2-2-222-20000-2200000000002222-2-2-222-20000-220000000000
χ1522-2-22-222-2-20000000000002-20022-2-22-222-2-20000000000002-20022-2-22-222-2-20000000000002-20022-2-22-222-2-20000000000002-20022-2-22-222-2-20000000000002-20022-2-22-222-2-20000000000002-20022-2-22-222-2-20000000000002-200
χ1622-2-22-222-2-2000000000000-220022-2-22-222-2-2000000000000-220022-2-22-222-2-2000000000000-220022-2-22-222-2-2000000000000-220022-2-22-222-2-2000000000000-220022-2-22-222-2-2000000000000-220022-2-22-222-2-2000000000000-2200
χ1722-2-22-2-2-2220000002i−2i0000000022-2-22-2-2-2220000002i−2i0000000022-2-22-2-2-2220000002i−2i0000000022-2-22-2-2-2220000002i−2i0000000022-2-22-2-2-2220000002i−2i0000000022-2-22-2-2-2220000002i−2i0000000022-2-22-2-2-2220000002i−2i00000000
χ1822-2-22-2-2-222000000−2i2i0000000022-2-22-2-2-222000000−2i2i0000000022-2-22-2-2-222000000−2i2i0000000022-2-22-2-2-222000000−2i2i0000000022-2-22-2-2-222000000−2i2i0000000022-2-22-2-2-222000000−2i2i0000000022-2-22-2-2-222000000−2i2i00000000
χ1922-2-2-222-22-200000000002-2000022-2-2-222-22-200000000002-2000022-2-2-222-22-200000000002-2000022-2-2-222-22-200000000002-2000022-2-2-222-22-200000000002-2000022-2-2-222-22-200000000002-2000022-2-2-222-22-200000000002-20000
χ2022-2-2-222-22-20000000000-22000022-2-2-222-22-20000000000-22000022-2-2-222-22-20000000000-22000022-2-2-222-22-20000000000-22000022-2-2-222-22-20000000000-22000022-2-2-222-22-20000000000-22000022-2-2-222-22-20000000000-220000
χ2122-2-2-22-22-22000000002i−2i00000022-2-2-22-22-22000000002i−2i00000022-2-2-22-22-22000000002i−2i00000022-2-2-22-22-22000000002i−2i00000022-2-2-22-22-22000000002i−2i00000022-2-2-22-22-22000000002i−2i00000022-2-2-22-22-22000000002i−2i000000
χ2222-2-2-22-22-2200000000−2i2i00000022-2-2-22-22-2200000000−2i2i00000022-2-2-22-22-2200000000−2i2i00000022-2-2-22-22-2200000000−2i2i00000022-2-2-22-22-2200000000−2i2i00000022-2-2-22-22-2200000000−2i2i00000022-2-2-22-22-2200000000−2i2i000000
χ234-44-40000000022−220000000000004-44-40000000022−220000000000004-44-40000000022−220000000000004-44-40000000022−220000000000004-44-40000000022−220000000000004-44-40000000022−220000000000004-44-40000000022−22000000000000
χ244-44-400000000−22220000000000004-44-400000000−22220000000000004-44-400000000−22220000000000004-44-400000000−22220000000000004-44-400000000−22220000000000004-44-400000000−22220000000000004-44-400000000−2222000000000000
χ254-4-4400000022−22000000000000004-4-4400000022−22000000000000004-4-4400000022−22000000000000004-4-4400000022−22000000000000004-4-4400000022−22000000000000004-4-4400000022−22000000000000004-4-4400000022−2200000000000000
χ264-4-44000000−2222000000000000004-4-44000000−2222000000000000004-4-44000000−2222000000000000004-4-44000000−2222000000000000004-4-44000000−2222000000000000004-4-44000000−2222000000000000004-4-44000000−222200000000000000
χ27111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ281111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ2911111111111111-1-11111-1-1-1-1-1-111111111111111-1-11111-1-1-1-1-1-111111111111111-1-11111-1-1-1-1-1-111111111111111-1-11111-1-1-1-1-1-111111111111111-1-11111-1-1-1-1-1-111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111
χ3011111111111111-1-1-1-1-1-11111-1-111111111111111-1-1-1-1-1-11111-1-111111111111111-1-1-1-1-1-11111-1-111111111111111-1-1-1-1-1-11111-1-111111111111111-1-1-1-1-1-11111-1-111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111
χ311111111111-1-1-1-11111-1-111-1-1-1-11111111111-1-1-1-11111-1-111-1-1-1-11111111111-1-1-1-11111-1-111-1-1-1-11111111111-1-1-1-11111-1-111-1-1-1-11111111111-1-1-1-11111-1-111-1-1-1-11111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111
χ321111111111-1-1-1-111-1-111-1-111-1-11111111111-1-1-1-111-1-111-1-111-1-11111111111-1-1-1-111-1-111-1-111-1-11111111111-1-1-1-111-1-111-1-111-1-11111111111-1-1-1-111-1-111-1-111-1-11111111111-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-111
χ331111111111-1-1-1-1-1-111-1-1-1-111111111111111-1-1-1-1-1-111-1-1-1-111111111111111-1-1-1-1-1-111-1-1-1-111111111111111-1-1-1-1-1-111-1-1-1-111111111111111-1-1-1-1-1-111-1-1-1-111111111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1
χ341111111111-1-1-1-1-1-1-1-11111-1-1111111111111-1-1-1-1-1-1-1-11111-1-1111111111111-1-1-1-1-1-1-1-11111-1-1111111111111-1-1-1-1-1-1-1-11111-1-1111111111111-1-1-1-1-1-1-1-11111-1-1111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1
χ35222222-2-2-2-2000000000000002i−2i222222-2-2-2-2000000000000002i−2i222222-2-2-2-2000000000000002i−2i222222-2-2-2-2000000000000002i−2i222222-2-2-2-2000000000000002i−2i222222-2-2-2-2000000000000002i−2i-2-2-2-2-2-2222200000000000000−2i2i
χ36222222-2-2-2-200000000000000−2i2i222222-2-2-2-200000000000000−2i2i222222-2-2-2-200000000000000−2i2i222222-2-2-2-200000000000000−2i2i222222-2-2-2-200000000000000−2i2i222222-2-2-2-200000000000000−2i2i-2-2-2-2-2-22222000000000000002i−2i
χ372222-2-22-2-2222-2-20000000000002222-2-22-2-2222-2-20000000000002222-2-22-2-2222-2-20000000000002222-2-22-2-2222-2-20000000000002222-2-22-2-2222-2-20000000000002222-2-22-2-2222-2-2000000000000-2-2-2-222-222-2-2-222000000000000
χ382222-2-22-2-22-2-2220000000000002222-2-22-2-22-2-2220000000000002222-2-22-2-22-2-2220000000000002222-2-22-2-22-2-2220000000000002222-2-22-2-22-2-2220000000000002222-2-22-2-22-2-222000000000000-2-2-2-222-222-222-2-2000000000000
χ392222-2-2-222-200002-200000000002222-2-2-222-200002-200000000002222-2-2-222-200002-200000000002222-2-2-222-200002-200000000002222-2-2-222-200002-200000000002222-2-2-222-200002-20000000000-2-2-2-2222-2-220000-220000000000
χ402222-2-2-222-20000-2200000000002222-2-2-222-20000-2200000000002222-2-2-222-20000-2200000000002222-2-2-222-20000-2200000000002222-2-2-222-20000-2200000000002222-2-2-222-20000-220000000000-2-2-2-2222-2-2200002-20000000000
χ4122-2-22-222-2-20000000000002-20022-2-22-222-2-20000000000002-20022-2-22-222-2-20000000000002-20022-2-22-222-2-20000000000002-20022-2-22-222-2-20000000000002-20022-2-22-222-2-20000000000002-200-2-222-22-2-222000000000000-2200
χ4222-2-22-222-2-2000000000000-220022-2-22-222-2-2000000000000-220022-2-22-222-2-2000000000000-220022-2-22-222-2-2000000000000-220022-2-22-222-2-2000000000000-220022-2-22-222-2-2000000000000-2200-2-222-22-2-2220000000000002-200
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χ4422-2-22-2-2-222000000−2i2i0000000022-2-22-2-2-222000000−2i2i0000000022-2-22-2-2-222000000−2i2i0000000022-2-22-2-2-222000000−2i2i0000000022-2-22-2-2-222000000−2i2i0000000022-2-22-2-2-222000000−2i2i00000000-2-222-2222-2-20000002i−2i00000000
χ4522-2-2-222-22-200000000002-2000022-2-2-222-22-200000000002-2000022-2-2-222-22-200000000002-2000022-2-2-222-22-200000000002-2000022-2-2-222-22-200000000002-2000022-2-2-222-22-200000000002-20000-2-2222-2-22-220000000000-220000
χ4622-2-2-222-22-20000000000-22000022-2-2-222-22-20000000000-22000022-2-2-222-22-20000000000-22000022-2-2-222-22-20000000000-22000022-2-2-222-22-20000000000-22000022-2-2-222-22-20000000000-220000-2-2222-2-22-2200000000002-20000
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Here ζ is a primitive root of unity of order 88 (ζ88 = 1); i = ζ22.