Finite Group Databasebeta

← Group #72268722

Character table — Group #72268722

Order 6144.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200C201C202C203C204
size11111111222222223333333344444444446666666666666666666666661212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212123232323232323232323232323232323248484848484848484848484848484848646464646464646464646464646464646464646464646464969696969696969696969696969696969696969696969696
order122222222222444422222222444444444422224444444444444444444444444444444444444444444444444444444444444444444444444444444444444436666666666666668888888888888888121212121212121212121212121212121212121212121212444444448888888888888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111
χ511111111-1-1-1-1-1-1-1-11111111111iiii−i−i−i−i-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111iiii−i−i−i−i111111111111-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i1111111-1-1-1-1-1-11-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-111-1-1ii−i−iii−i−i1111-1-1-1-1
χ611111111-1-1-1-1-1-1-1-11111111111iiii−i−i−i−i-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111iiii−i−i−i−i111111111111-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i1111111-1-1-1-1-1-11-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-111-1-111−i−iii−i−iii-1-1-1-11111
χ711111111-1-1-1-1-1-1-1-11111111111−i−i−i−iiiii-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111−i−i−i−iiiii111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii1111111-1-1-1-1-1-11-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-111-1-111ii−i−iii−i−i-1-1-1-11111
χ811111111-1-1-1-1-1-1-1-11111111111−i−i−i−iiiii-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111−i−i−i−iiiii111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii1111111-1-1-1-1-1-11-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-111-1-1−i−iii−i−iii1111-1-1-1-1
χ9111-1-11-1-111-1-1-1-11111-1-111-1-11-1ii−i−iii−i−i11-1-1-1-11111-1-1-1-111-1-1-1-111111-1ii−i−iii−i−i111111-1-1-1-1-1-1111111-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i111-1-1-1-11111-1-11-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1iiii−i−i−i−iiiii−i−i−i−ii−ii−ii−ii−i1-11-11-11-1ii−i−iii−i−i
χ10111-1-11-1-111-1-1-1-11111-1-111-1-11-1ii−i−iii−i−i11-1-1-1-11111-1-1-1-111-1-1-1-111111-1ii−i−iii−i−i111111-1-1-1-1-1-1111111-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i111-1-1-1-11111-1-11-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i−ii−ii−ii−ii-11-11-11-11−i−iii−i−iii
χ11111-1-11-1-111-1-1-1-11111-1-111-1-11-1−i−iii−i−iii11-1-1-1-11111-1-1-1-111-1-1-1-111111-1−i−iii−i−iii111111-1-1-1-1-1-1111111-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii111-1-1-1-11111-1-11-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii−ii−ii−ii−ii1-11-11-11-1−i−iii−i−iii
χ12111-1-11-1-111-1-1-1-11111-1-111-1-11-1−i−iii−i−iii11-1-1-1-11111-1-1-1-111-1-1-1-111111-1−i−iii−i−iii111111-1-1-1-1-1-1111111-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii111-1-1-1-11111-1-11-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1−i−i−i−iiiii−i−i−i−iiiiii−ii−ii−ii−i-11-11-11-11ii−i−iii−i−i
χ13111-1-11-1-1-1-11111-1-111-1-111-1-11-111-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-11-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-111111iiii−i−i−i−i−i−i−i−iiiii11-1-1-1-1111111-1-1-1-1-1-1-1-11111−iii−i−iii−ii−i−iii−i−ii−i−iiiii−i−i
χ14111-1-11-1-1-1-11111-1-111-1-111-1-11-111-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-11-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-111111−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-1111111-1-1-1-1-1-1-1-11111i−i−iii−i−ii−iii−i−iii−iii−i−i−i−iii
χ15111-1-11-1-1-1-11111-1-111-1-111-1-11-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-111111iiii−i−i−i−i−i−i−i−iiiii11-1-1-1-111-1-1-1-111111111-1-1-1-1i−i−iii−i−iii−i−iii−i−iiii−i−i−i−iii
χ16111-1-11-1-1-1-11111-1-111-1-111-1-11-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-111111−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-111-1-1-1-111111111-1-1-1-1−iii−i−iii−i−iii−i−iii−i−i−iiiii−i−i
χ172222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ1822222222222222222222222222-2-2-2-2-2-2-2-222222222222222222222222222-2-2-2-2-2-2-2-2222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-1-1-1-1-1-1-1-11111111111111111000000000000000000000000
χ19222222222222-2-2-2-222222222-2-2000000002222-2-22222-2-2-2-2-2-22222-2-2-2-2-2-20000000022-2-2-2-222-2-2-2-22222-2-22222-2-20000000000000000000000000000000022222222222222220000000000000000-2-2-2-2-2-2-2-20000000000000000000000000000000000000000
χ20222222222222-2-2-2-222222222-2-2000000002222-2-22222-2-2-2-2-2-22222-2-2-2-2-2-20000000022-2-2-2-222-2-2-2-22222-2-22222-2-200000000000000000000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000011111111−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3000000000000000000000000
χ21222222222222-2-2-2-222222222-2-2000000002222-2-22222-2-2-2-2-2-22222-2-2-2-2-2-20000000022-2-2-2-222-2-2-2-22222-2-22222-2-200000000000000000000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000011111111i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3000000000000000000000000
χ2222222222-2-2-2-2222222222222-2-200000000-2-2-2-222222222222222222222-2-20000000022-2-2-2-222-2-2-2-2-2-2-2-222-2-2-2-222000000000000000000000000000000002222222-2-2-2-2-2-22-2-20000000000000000-2-2-2-222220000000000000000000000000000000000000000
χ2322222222-2-2-2-2222222222222-2-200000000-2-2-2-222222222222222222222-2-20000000022-2-2-2-222-2-2-2-2-2-2-2-222-2-2-2-22200000000000000000000000000000000-1-1-1-1-1-1-1111111-11100000000000000001111-1-1-1-133−3−333−3−3−3−333−3−333000000000000000000000000
χ2422222222-2-2-2-2222222222222-2-200000000-2-2-2-222222222222222222222-2-20000000022-2-2-2-222-2-2-2-2-2-2-2-222-2-2-2-22200000000000000000000000000000000-1-1-1-1-1-1-1111111-11100000000000000001111-1-1-1-1−3−333−3−33333−3−333−3−3000000000000000000000000
χ2522222222-2-2-2-2-2-2-2-222222222222i2i2i2i−2i−2i−2i−2i-2-2-2-2-2-22222-2-2-2-2-2-22222-2-2-2-2222i2i2i2i−2i−2i−2i−2i222222222222-2-2-2-2-2-2-2-2-2-2-2-22i2i2i2i2i2i2i2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i-1-1-1-1-1-1-1111111-1110000000000000000-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii000000000000000000000000
χ2622222222-2-2-2-2-2-2-2-22222222222−2i−2i−2i−2i2i2i2i2i-2-2-2-2-2-22222-2-2-2-2-2-22222-2-2-2-222−2i−2i−2i−2i2i2i2i2i222222222222-2-2-2-2-2-2-2-2-2-2-2-2−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i2i2i2i2i2i2i2i2i-1-1-1-1-1-1-1111111-1110000000000000000-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i000000000000000000000000
χ27222-2-22-2-222-2-222-2-222-2-222-2-2-220000000022-2-22222222222-2-2-2-2-2-2-2-2-2-2-220000000022-2-2-2-2-2-222222222-2-2-2-2-2-22200000000000000000000000000000000222-2-2-2-22222-2-22-2-20000000000000000-2-222-2-2220000000000000000000000000000000000000000
χ28222-2-22-2-222-2-222-2-222-2-222-2-2-220000000022-2-22222222222-2-2-2-2-2-2-2-2-2-2-220000000022-2-2-2-2-2-222222222-2-2-2-2-2-22200000000000000000000000000000000-1-1-11111-1-1-1-111-111000000000000000011-1-111-1-133−3−3−3−33333−3−3−3−333000000000000000000000000
χ29222-2-22-2-222-2-222-2-222-2-222-2-2-220000000022-2-22222222222-2-2-2-2-2-2-2-2-2-2-220000000022-2-2-2-2-2-222222222-2-2-2-2-2-22200000000000000000000000000000000-1-1-11111-1-1-1-111-111000000000000000011-1-111-1-1−3−33333−3−3−3−33333−3−3000000000000000000000000
χ30222-2-22-2-222-2-2-2-22222-2-222-2-22-22i2i−2i−2i2i2i−2i−2i22-2-2-2-22222-2-2-2-222-2-2-2-222222-22i2i−2i−2i2i2i−2i−2i222222-2-2-2-2-2-2222222-2-2-2-2-2-22i2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i-1-1-11111-1-1-1-111-1110000000000000000-1-111-1-111−i−i−i−iiiii−i−i−i−iiiii000000000000000000000000
χ31222-2-22-2-222-2-2-2-22222-2-222-2-22-2−2i−2i2i2i−2i−2i2i2i22-2-2-2-22222-2-2-2-222-2-2-2-222222-2−2i−2i2i2i−2i−2i2i2i222222-2-2-2-2-2-2222222-2-2-2-2-2-2−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i-1-1-11111-1-1-1-111-1110000000000000000-1-111-1-111iiii−i−i−i−iiiii−i−i−i−i000000000000000000000000
χ32222-2-22-2-2-2-22222-2-222-2-222-2-22-222-2-2-2-222-2-2222222222222-2-2-2-2-2-2-2-2-2-22-222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-1-1-111111111-1-1-1-1-10000000000000000-1-11111-1-1-1-1-1-111111111-1-1-1-1000000000000000000000000
χ33222-2-22-2-2-2-22222-2-222-2-222-2-22-2-2-22222-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-22-2-2-22222-2-2222222-2-2-2-2-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-22222222222222222-2-2-2-2-2-2-2-2-1-1-111111111-1-1-1-1-10000000000000000-1-11111-1-11111-1-1-1-1-1-1-1-11111000000000000000000000000
χ34222-2-22-2-2-2-222-2-22222-2-222-2-2-2200000000-2-222-2-22222-2-2-2-222-2-2-2-22222-220000000022-2-2-2-2-2-22222-2-2-2-2222222-2-200000000000000000000000000000000222-2-2-2-2-2-2-2-2222220000000000000000-2-22222-2-20000000000000000000000000000000000000000
χ35222-2-22-2-2-2-222-2-22222-2-222-2-2-2200000000-2-222-2-22222-2-2-2-222-2-2-2-22222-220000000022-2-2-2-2-2-22222-2-2-2-2222222-2-200000000000000000000000000000000-1-1-111111111-1-1-1-1-1000000000000000011-1-1-1-111−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3000000000000000000000000
χ36222-2-22-2-2-2-222-2-22222-2-222-2-2-2200000000-2-222-2-22222-2-2-2-222-2-2-2-22222-220000000022-2-2-2-2-2-22222-2-2-2-2222222-2-200000000000000000000000000000000-1-1-111111111-1-1-1-1-1000000000000000011-1-1-1-111i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3000000000000000000000000
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.