Finite Group Databasebeta

← Group #72225515

Character table — Group #72225515

Order 4096.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166
size112222222444444444444444444444444444444888888888888888888888888888888888888888161616161616161616161616161616161616161616161616161616161616161616161616323232323232323232323232323232323232323232323232323232323232323264646464646464646464646464646464256256256256
order122448888244444888888888888161616161616161616161616888881616161616161616161632323232323232323232323232323232323232323232323216161616161616161616161616161616323232323232323232323232323232323232323222448888161616161616161632323232323232323232323232323232646464646464646464646464646464642488
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1
χ6111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111
χ7111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-111
χ8111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111111111-1-1
χ9111111111-1-111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-11111-1-1-1-1iiii−i−i−i−i1-11-111-1-11111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1iiii−i−i−i−i1-1i−i
χ10111111111-1-111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-11111-1-1-1-1iiii−i−i−i−i1-11-111-1-11111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111−i−i−i−iiiii-11−ii
χ11111111111-1-111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-11111-1-1-1-1iiii−i−i−i−i-11-11-1-111-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1iiii−i−i−i−i-11−ii
χ12111111111-1-111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-11111-1-1-1-1iiii−i−i−i−i-11-11-1-111-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111−i−i−i−iiiii1-1i−i
χ13111111111-1-111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-11111-1-1-1-1−i−i−i−iiiii1-11-111-1-11111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1−i−i−i−iiiii1-1−ii
χ14111111111-1-111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-11111-1-1-1-1−i−i−i−iiiii1-11-111-1-11111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111iiii−i−i−i−i-11i−i
χ15111111111-1-111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-11111-1-1-1-1−i−i−i−iiiii-11-11-1-111-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1−i−i−i−iiiii-11i−i
χ16111111111-1-111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-11111-1-1-1-1−i−i−i−iiiii-11-11-1-111-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111iiii−i−i−i−i1-1−ii
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χ18222222222222222222222222222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000000
χ1922222222222222222-2-2-2-2-2-2-2-2222222-2-2-2-222222-2-2-2-2-2-222-2-2-2-2222222222222222222000000000000000000000000000000000000-2-2-2-2-2-2-2-20000000000000000000000000000000022−2−222−2−222−2−222−2−20000
χ2022222222222222222-2-2-2-2-2-2-2-2222222-2-2-2-222222-2-2-2-2-2-222-2-2-2-2222222222222222222000000000000000000000000000000000000-2-2-2-2-2-2-2-200000000000000000000000000000000−2−222−2−222−2−222−2−2220000
χ2122222222222222222-2-2-2-2-2-2-2-2222222-2-2-2-222222-2-2-2-2-2-222-2-2-2-222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000222222220000000000000000000000000000000022−2−222−2−2−2−222−2−2220000
χ2222222222222222222-2-2-2-2-2-2-2-2222222-2-2-2-222222-2-2-2-2-2-222-2-2-2-222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000002222222200000000000000000000000000000000−2−222−2−22222−2−222−2−20000
χ2322222222222222222-2-2-2-2-2-2-2-222-2-2-2-22222-2-2-2-22-2-2-2-222-2-22222-2-200000000000000002222222200000000000000002222-2-2-2-2-2-2-2-20000000022222222-2-2-2-2-2-2-2-2000000000000000000000000000000000000
χ2422222222222222222-2-2-2-2-2-2-2-222-2-2-2-22222-2-2-2-22-2-2-2-222-2-22222-2-200000000000000002222222200000000000000002222-2-2-2-2-2-2-2-200000000-2-2-2-2-2-2-2-222222222000000000000000000000000000000000000
χ2522222222222222222-2-2-2-2-2-2-2-222-2-2-2-22222-2-2-2-22-2-2-2-222-2-22222-2-20000000000000000-2-2-2-2-2-2-2-20000000000000000-2-2-2-2222222220000000000000000000000002i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i00000000000000000000
χ2622222222222222222-2-2-2-2-2-2-2-222-2-2-2-22222-2-2-2-22-2-2-2-222-2-22222-2-20000000000000000-2-2-2-2-2-2-2-20000000000000000-2-2-2-222222222000000000000000000000000−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i00000000000000000000
χ27222222222-2-222-2-2-2-2222222222222222222-2-2-2-2-2-2-2-2-2-2-222-2-222-2-22i2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i-2-2-2-22222−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i-2-222-2-2-2-222222i2i2i2i−2i−2i−2i−2i0000000000000000000000000000000000000000000000000000
χ28222222222-2-222-2-2-2-2222222222222222222-2-2-2-2-2-2-2-2-2-2-222-2-222-2-2−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i-2-2-2-222222i2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i-2-222-2-2-2-22222−2i−2i−2i−2i2i2i2i2i0000000000000000000000000000000000000000000000000000
χ29222222222-2-222-2-2-2-2-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-2-22222222222-2-2-2-22i2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i000000000000000000000000000000000000−2i−2i−2i−2i2i2i2i2i0000000000000000000000000000000022−2−2−2−222i2i2−i2−i2−i2−i2i2i20000
χ30222222222-2-222-2-2-2-2-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-2-22222222222-2-2-2-22i2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i000000000000000000000000000000000000−2i−2i−2i−2i2i2i2i2i00000000000000000000000000000000−2−22222−2−2−i2−i2i2i2i2i2−i2−i20000
χ31222222222-2-222-2-2-2-2-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-2-22222222222-2-2-2-2−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i0000000000000000000000000000000000002i2i2i2i−2i−2i−2i−2i0000000000000000000000000000000022−2−2−2−222−i2−i2i2i2i2i2−i2−i20000
χ32222222222-2-222-2-2-2-2-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-2-22222222222-2-2-2-2−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i0000000000000000000000000000000000002i2i2i2i−2i−2i−2i−2i00000000000000000000000000000000−2−22222−2−2i2i2−i2−i2−i2−i2i2i20000
χ33222222222-2-222-2-2-2-2-2-2-2-2-2-2-2-222-2-2-2-222222222-22222-2-2-2-2-2-2222200000000000000002222-2-2-2-2000000000000000022-2-2-2-2-2-22222000000002-22-222-2-2-2-2-2-22222000000000000000000000000000000000000
χ34222222222-2-222-2-2-2-2-2-2-2-2-2-2-2-222-2-2-2-222222222-22222-2-2-2-2-2-2222200000000000000002222-2-2-2-2000000000000000022-2-2-2-2-2-2222200000000-22-22-2-2222222-2-2-2-2000000000000000000000000000000000000
χ35222222222-2-222-2-2-2-2-2-2-2-2-2-2-2-222-2-2-2-222222222-22222-2-2-2-2-2-222220000000000000000-2-2-2-222220000000000000000-2-2222222-2-2-2-20000000000000000000000002222-2-2-2-2-2-2-2-2222200000000000000000000
χ36222222222-2-222-2-2-2-2-2-2-2-2-2-2-2-222-2-2-2-222222222-22222-2-2-2-2-2-222220000000000000000-2-2-2-222220000000000000000-2-2222222-2-2-2-2000000000000000000000000-2-2-2-222222222-2-2-2-200000000000000000000
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χ452222222-2-2-2-2-2-22222000000002-2000022220000-20000-2-20022-2-2002222−2−2−2−2−2−2−2−22222222222222222−2−2−2−2−2−2−2−22222-2-2-2-20000000022−2−2−2−2222-22-2-2-2220000000022−2−222−2−2−2−222−2−22200000000000000000000
χ462222222-2-2-2-2-2-22222000000002-2000022220000-20000-2-20022-2-2002222−2−2−2−2−2−2−2−22222222222222222−2−2−2−2−2−2−2−22222-2-2-2-20000000022−2−2−2−222-22-2222-2-200000000−2−222−2−22222−2−222−2−200000000000000000000
χ472222222-2-2-2-2-2-22222000000002-2000022220000-20000-2-20022-2-2002222−2−2−2−2−2−2−2−22222-2-2-2-2-2-2-2-2−2−2−2−222222222−2−2−2−222220000000022−2−2−2−222000000002i2i−2i−2i−2i−2i2i2i−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i200000000000000000000
χ482222222-2-2-2-2-2-22222000000002-2000022220000-20000-2-20022-2-2002222−2−2−2−2−2−2−2−22222-2-2-2-2-2-2-2-2−2−2−2−222222222−2−2−2−222220000000022−2−2−2−22200000000−2i−2i2i2i2i2i−2i−2ii2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i200000000000000000000
χ492222222-2-2-2-2-2-22222000000002-2000022220000-20000-2-20022-2-200−2−2−2−222222222−2−2−2−222222222−2−2−2−222222222−2−2−2−2-2-2-2-200000000−2−22222−2−22-22-2-2-22200000000−2−222−2−22222−2−222−2−200000000000000000000
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Here ζ is a primitive root of unity of order 16 (ζ16 = 1); i = ζ4.