Finite Group Databasebeta

← Group #13135124

Character table — Group #13135124

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200C201C202C203C204
size11111111222222222222222222222222222222222222222222222222222244444444444444444444444444444444444444444444444444444444444444444444444444444444121212121212121212121212121212121212121212121212121212121212121212121212181818181818181818181818181818181818181818181818108108108108
order12222222334444666666666666669991212121212121212181818181818181818181818181818181818181818366666669991212121212121212121212121818181818181818181818181818181818181818183636363636363636363636363636363636363636363636363636363636363636363636364444121212121212121236363636363636363636363636363636363636363636363688888888242424242424242424242424242424244444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111-1-11-1-1111-1-1111-1-1-1-111-1-1-111-111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1111-1-1-1111-1-1-1-1111111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1ii−i−iiiii−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i1111-1-1-1-111111111-1-1-1-1-1-1-1-1ii−i−i
χ6111-1-11-1-1111-1-1111-1-1-1-111-1-1-111-111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1111-1-1-1111-1-1-1-1111111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1ii−i−iiiii−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i-1-1-1-11111-1-1-1-1-1-1-1-111111111−i−iii
χ7111-1-11-1-1111-1-1111-1-1-1-111-1-1-111-111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1111-1-1-1111-1-1-1-1111111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−i−i−i−iiiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii1111-1-1-1-111111111-1-1-1-1-1-1-1-1−i−iii
χ8111-1-11-1-1111-1-1111-1-1-1-111-1-1-111-111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1111-1-1-1111-1-1-1-1111111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−i−i−i−iiiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii-1-1-1-11111-1-1-1-1-1-1-1-111111111ii−i−i
χ91-1-11-111-11111-1-1-1-111-1-1-1-11-1-11111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-11111111-1-111-1-111111-11-111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1111-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-11-11-111-1-111-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−ii−ii−i
χ101-1-11-111-11111-1-1-1-111-1-1-1-11-1-11111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-11111111-1-111-1-111111-11-111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1111-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-11-11-111-1-111-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii−ii−ii
χ111-1-11-111-11111-1-1-1-111-1-1-1-11-1-11111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-11111111-1-111-1-111111-11-111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1111-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1-11-11-1-111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1111111ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i−ii−ii
χ121-1-11-111-11111-1-1-1-111-1-1-1-11-1-11111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-11111111-1-111-1-111111-11-111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1111-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1-11-11-1-111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1111111−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiiii−ii−i
χ131-1-1-111-11111-11-1-1-1-1-111-1-1-11111-111111-1-111-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-11-1-1-1-11111111-1-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111i−i−iiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii-111-1
χ141-1-1-111-11111-11-1-1-1-1-111-1-1-11111-111111-1-111-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-11-1-1-1-11111111-1-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111i−i−iiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiii−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i1-1-11
χ151-1-1-111-11111-11-1-1-1-1-111-1-1-11111-111111-1-111-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-11-1-1-1-11111111-1-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111−iii−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−iii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii1-1-11
χ161-1-1-111-11111-11-1-1-1-1-111-1-1-11111-111111-1-111-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-11-1-1-1-11111111-1-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111−iii−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−i−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i-111-1
χ172222222222222222222222222222-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000
χ182222222222222222222222222222-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-21111111111111111111111110000000000000000000000000000
χ192222222222-2-2-2-222222222222222222-2-2-2-2-2-2-2-222222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000000000000000000
χ202222222222-2-2-2-222222222222222-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111000000000000−i3−i3−i3i3i3i3−i3−i3−i3i3i3i3−i3−i3−i3i3i3i3−i3−i3−i3i3i3i30000000000000000000000000000
χ212222222222-2-2-2-222222222222222-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111000000000000i3i3i3−i3−i3−i3i3i3i3−i3−i3−i3i3i3i3−i3−i3−i3i3i3i3−i3−i3−i30000000000000000000000000000
χ22222222222-12222222222-1-1-1-1-12-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ6822222222ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-1-1-1-1-1-1-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-1-1-1-1-1-1-1-1-1-1-1-1ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ682222-1-1-1-1-1-1-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ680000000000000000000000000000
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Here ζ is a primitive root of unity of order 72 (ζ72 = 1); i = ζ18.