Finite Group Databasebeta

← Group #72248113

Character table — Group #72248113

Order 1536.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168
size111122222244444444444488888888888816161616161616161616161616161616161616161616111122222244444444444488888888888816161616161616161616161616161616161616161616111122222244444444444488888888888816161616161616161616161616161616161616161616
order122222444422222244444422222222444444444444444444888888883666661212121266666612121212121266666666121212121212121212121212121212121212242424242424242436666612121212666666121212121212666666661212121212121212121212121212121212122424242424242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111111111111111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111111111111111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ51111111111111111111111-1-1-1-1-1-111-1-111-1-111-1-11111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-111-1-111-1-111-1-11111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-111-1-111-1-111-1-11111-1-1-1-1-1-1-1-11111
χ61111111111111111111111-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-111111111-1-1-1-11111111111111111111111-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-111111111-1-1-1-11111111111111111111111-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-111111111-1-1-1-1
χ71111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111
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χ10111111111111-1-1-1-111-1-1-1-11111-1-111-1-11111-1-1-1-1−i−iii−i−iii−i−iii−i−iii111111111111-1-1-1-111-1-1-1-11111-1-111-1-11111-1-1-1-1−i−iii−i−iii−i−iii−i−iii111111111111-1-1-1-111-1-1-1-11111-1-111-1-11111-1-1-1-1−i−iii−i−iii−i−iii−i−iii
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χ12111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111−i−iiiii−i−i−i−iiiii−i−i111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111−i−iiiii−i−i−i−iiiii−i−i111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111−i−iiiii−i−i−i−iiiii−i−i
χ13111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111ii−i−i−i−iii−i−iiiii−i−i111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111ii−i−i−i−iii−i−iiiii−i−i111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111ii−i−i−i−iii−i−iiiii−i−i
χ14111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111−i−iiiii−i−iii−i−i−i−iii111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111−i−iiiii−i−iii−i−i−i−iii111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111−i−iiiii−i−iii−i−i−i−iii
χ15111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1ii−i−iii−i−i−i−iii−i−iii111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1ii−i−iii−i−i−i−iii−i−iii111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1ii−i−iii−i−i−i−iii−i−iii
χ16111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1−i−iii−i−iiiii−i−iii−i−i111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1−i−iii−i−iiiii−i−iii−i−i111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1−i−iii−i−iiiii−i−iii−i−i
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.