Finite Group Databasebeta

← Group #13144445

Character table — Group #13144445

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164
size11111122244466666666121212121212121212121212181818181818363636111111222444666666661212121212121212121212121818181818183636361111112224446666666612121212121212121212121218181818181836363611111122244466666666121212121212121212121212181818181818363636
order123366412124121233336666121212121212121212121212882424242441212441212121241212412121212121212121212121212121212121212121212882424242441212226666412124121266666666121212121212121212121212882424242441212441212121241212412121212121212121212121212121212121212121212882424242441212
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χ3111111111-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-1-1111111111-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-1-1111111111-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-1-1111111111-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-1-1
χ4111111111-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
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χ19222222-2-2-2000-1-12-1-1-12-111-21i3−i3−i3i300i3−i3000000000222222-2-2-2000-1-12-1-1-12-111-21i3−i3−i3i300i3−i3000000000222222-2-2-2000-1-12-1-1-12-111-21i3−i3−i3i300i3−i3000000000222222-2-2-2000-1-12-1-1-12-111-21i3−i3−i3i300i3−i3000000000
χ20222222-2-2-2000-1-1-12-1-1-12111-2−i3i3−i3i3i3−i300000000000222222-2-2-2000-1-1-12-1-1-12111-2−i3i3−i3i3i3−i300000000000222222-2-2-2000-1-1-12-1-1-12111-2−i3i3−i3i3i3−i300000000000222222-2-2-2000-1-1-12-1-1-12111-2−i3i3−i3i3i3−i300000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.