Finite Group Databasebeta

← Group #72216408

Character table — Group #72216408

Order 4096.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200C201C202C203C204C205C206C207C208
size1111111111111111222222222222222222222222444444444444444488888888888888888888888888888888161616161616161616161616161616161616161616161616161616161616161616161616161616163232323232323232323232323232323232323232323232323232323232323232323232323232323232323232323232323232323232323232323232323232323264646464646464646464646464646464
order122222224444444422222222222244444444444444444444444444444444444444444444888888888888888888888888888888888888888888888888888888882222444444444444444444448888888816161616161616161616161616161616161616161616161616161616161616162444444488888888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-11111-1-1-1-1-1-1-11111
χ5111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ6111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111
χ7111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-11111
χ8111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-11111111-1-1-1-1
χ911111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-11111111-1-1-1-111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i11-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i111-1-11-1-111-1-111-1-1
χ1011111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-11111111-1-1-1-111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i11-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii-1-1-111-111-1-111-1-111
χ1111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-11111111-1-1-1-111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i-1-111-1-111−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii1-1-1111-1-111-1-1-1-111
χ1211111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-11111111-1-1-1-111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i-1-111-1-111−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i-111-1-1-111-1-11111-1-1
χ1311111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-11111111-1-1-1-111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii11-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i-1-1-111-111-1-111-1-111
χ1411111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-11111111-1-1-1-111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii11-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii111-1-11-1-111-1-111-1-1
χ1511111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-11111111-1-1-1-111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii-1-111-1-111iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-111-1-1-111-1-11111-1-1
χ1611111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-11111111-1-1-1-111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii-1-111-1-111iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i1-1-1111-1-111-1-1-1-111
χ17222222222222222222222222222222222222222222222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000222222220000000000000000-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000
χ18222222222222222222222222222222222222222222222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000-2-2-2-2-2-2-2-2000000000000000022222222000000000000000000000000000000000000000000000000
χ1922222222222222222222222222222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-222-2-222-2-222-2-222-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000022220000000-2-2-2-2
χ2022222222222222222222222222222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-222-2-222-2-222-2-222-2-20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000-2-2-2-200000002222
χ2122222222222222222222222222222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-222-2-222-2-222-2-22200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000020000222-2-2-2-20000
χ2222222222222222222222222222222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-222-2-222-2-222-2-222000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000-20000-2-2-222220000
χ23222222222222222222-2-2-2-2-2-222-2-2-2-2-2-2-2-2-22222-222-2-22222-2-2-2-2-2-2222222-2-2-2-22222-2-2-2-20000000000000000000000000000000000000000000000000000000022-2-2-2-222000000000000000000000000i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i20000000000000000
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χ25222222222222222222-2-2-2-2-2-222-2-2-2-2-2-2-2-2-22222-222-2-22222-2-2-2-2-2-2222222-2-2-2-22222-2-2-2-200000000000000000000000000000000000000000000000000000000-2-22222-2-2000000000000000000000000i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i20000000000000000
χ26222222222222222222-2-2-2-2-2-222-2-2-2-2-2-2-2-2-22222-222-2-22222-2-2-2-2-2-2222222-2-2-2-22222-2-2-2-200000000000000000000000000000000000000000000000000000000-2-22222-2-2000000000000000000000000−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i20000000000000000
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χ282222222222222222-2-22222-2-2-2-2-2-2222-2-2-2-2-2-2-2-222-22-222-2-222-2-22-22-200000000000000000000-2-2-2-200-2-200-2-200220022i2i2i2i2i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i200000000000000000000000000000000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i20000000000000000-2000022-200000000
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χ312222222222222222-2-22222-2-2-2-2-2-2222-2-2-2-2-2-2-2-22-22-22-2-222-2-222-22-220000000000000000-2-2-2-20000-2-200-2-20022002200i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2000000000000000000000000000000000000000000000000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i202-22-200000000000
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χ3722222222-2-2-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-222-2-2-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-2222200000000000000000000000000000000000000000000000000000000-2-2-2-222220000000000000000000000002222−2−2−2−2−2−2−2−22222−2−2−2−222222222−2−2−2−20000000000000000
χ3822222222-2-2-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-222-2-2-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-2222200000000000000000000000000000000000000000000000000000000-2-2-2-22222000000000000000000000000−2−2−2−222222222−2−2−2−22222−2−2−2−2−2−2−2−222220000000000000000
χ3922222222-2-2-2-2-2-2-2-222-2-2-2-2-2-222-2-22222222-2-2-2-222222-2-2-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-222220000000000000000000000000000000022-2-222-2-20000000000000000-2-2-2-22222000000000000000000000000000000000000000000000000
χ4022222222-2-2-2-2-2-2-2-222-2-2-2-2-2-222-2-22222222-2-2-2-222222-2-2-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2222200000000000000000000000000000000-2-222-2-22200000000000000002222-2-2-2-2000000000000000000000000000000000000000000000000
χ4122222222-2-2-2-2-2-2-2-222-2-2-2-2-2-222-2-22222222-2-2-2-222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2222222222222-2-2-2-2-2-222-2-22222-2-2-2-222000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000022-2-20000000-2-222
χ4222222222-2-2-2-2-2-2-2-222-2-2-2-2-2-222-2-22222222-2-2-2-222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2222222222222-2-2-2-2-2-222-2-22222-2-2-2-2220000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000-2-222000000022-2-2
χ4322222222-2-2-2-2-2-2-2-222-2-2-2-2-2-222-2-22222222-2-2-2-222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-222222222-2-2-2-2222222-2-222-2-2-2-22222-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000200002-2-2-2-2220000
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Here ζ is a primitive root of unity of order 8 (ζ8 = 1); i = ζ2.