Finite Group Databasebeta

← Group #13159037

Character table — Group #13159037

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159
size11112222222222222222222222222222444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444242424242424242424242424242424242424363636363636363636363636108108108108
order12223333344446666666666666661212121233334666666666666121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212124412121212121212121212121212121212888824242424242424244444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111-1-11111111111111111111111111-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1
χ6111111111-1-11111111111111111111111111-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111
χ7111111111-1-11111111111111111111111111-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-111
χ8111111111-1-11111111111111111111111111-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1111111-1-1
χ922222222222-2-2222222222222222-2-2-2-22222-22222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000
χ10222222222-2-2-2-2222222222222222-2-2-2-222222222222222222-2-2-2-2-2-2-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222222222220000000000000000000000000000000000
χ1122222222-1222222222222-1-1-12222-1-1-1-1-1-1-1-12-1-1-1-1-1-1-1-1-1-1-1-122222222-1-122222222-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000002222-1-1-1-1-1-1-1-10000
χ1222222222-1222222222222-1-1-12222-1-1-1-1-1-1-1-12-1-1-1-1-1-1-1-1-1-1-1-122222222-1-122222222-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000-2-2-2-2111111110000
χ1322222222-122-2-222222222-1-1-122221111-1-1-1-1-2-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-2-2-2-2-2-2-2-211-2-2-2-2-2-2-2-21111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111000000000000000000000033−3−333−3−30000
χ1422222222-122-2-222222222-1-1-122221111-1-1-1-1-2-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-2-2-2-2-2-2-2-211-2-2-2-2-2-2-2-21111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111110000000000000000000000−3−333−3−3330000
χ1522222222-1-2-22222222222-1-1-12222-1-1-1-1-1-1-1-1-2-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211-2-2-2-2-2-2-2-21122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111100000000000000000022-2-2-1-1-1-111110000
χ1622222222-1-2-22222222222-1-1-12222-1-1-1-1-1-1-1-1-2-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211-2-2-2-2-2-2-2-21122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111000000000000000000-2-2221111-1-1-1-10000
χ1722222222-1-2-2-2-222222222-1-1-122221111-1-1-1-12-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21122222222-1-1-2-2-2-2-2-2-2-211111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000033−3−3−3−3330000
χ1822222222-1-2-2-2-222222222-1-1-122221111-1-1-1-12-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21122222222-1-1-2-2-2-2-2-2-2-211111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000−3−33333−3−30000
χ1922222-1-1-12222222-1-1-1-1-1-12222-1-1-122222-1-1-12222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-12222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-10000000000000000
χ2022222-1-1-12222222-1-1-1-1-1-12222-1-1-122222-1-1-12222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-12222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111-2-21111110000000000000000
χ2122222-1-1-1222-2-222-1-1-1-1-1-12222-1-1-1-2-2-2-22-1-1-1-2222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-2-2111111-2-2-2-2111111-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111110000−i3−i3−i3i3i3i300−i3−i3−i3i3i3i30000000000000000
χ2222222-1-1-1222-2-222-1-1-1-1-1-12222-1-1-1-2-2-2-22-1-1-1-2222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-2-2111111-2-2-2-2111111-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111110000i3i3i3−i3−i3−i300i3i3i3−i3−i3−i30000000000000000
χ2322222-1-1-12-2-22222-1-1-1-1-1-12222-1-1-122222-1-1-1-2222-1-1-1-1-1-1-1-1-1-2-2111111-2-2-2-2111111-2-222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-21111111111112-222-1-1-1-1-1-1-2-21111110000000000000000
χ2422222-1-1-12-2-22222-1-1-1-1-1-12222-1-1-122222-1-1-1-2222-1-1-1-1-1-1-1-1-1-2-2111111-2-2-2-2111111-2-222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-2111111111111-22-2-211111122-1-1-1-1-1-10000000000000000
χ2522222-1-1-12-2-2-2-222-1-1-1-1-1-12222-1-1-1-2-2-2-22-1-1-12222-1-1-1-1-1-1-1-1-1-2-2111111-2-222-1-1-1-1-1-122-2-2111111-2-2-2-2111111111111-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-10000−i3−i3−i3i3i3i300i3i3i3−i3−i3−i30000000000000000
χ2622222-1-1-12-2-2-2-222-1-1-1-1-1-12222-1-1-1-2-2-2-22-1-1-12222-1-1-1-1-1-1-1-1-1-2-2111111-2-222-1-1-1-1-1-122-2-2111111-2-2-2-2111111111111-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-10000i3i3i3−i3−i3−i300−i3−i3−i3i3i3i30000000000000000
χ272222-12-1-122222-1-122-1-1-1-1222-12-1-12222-12-1-12-1-1-1222-1-1-1-1-1-1-1-122-1-1-1-122-1-122-1-1-1-122-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-12-1-12-1-1-1-12-1-12-1-10000000000000000
χ282222-12-1-122222-1-122-1-1-1-1222-12-1-12222-12-1-12-1-1-1222-1-1-1-1-1-1-1-122-1-1-1-122-1-122-1-1-1-122-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-211-211-21111-211-2110000000000000000
χ292222-12-1-1222-2-2-1-122-1-1-1-1222-12-1-1-2-2-2-2-12-1-1-2-1-1-1222-1-1-1-1-1-1-1-122-1-1-1-12211-2-21111-2-211-2-211111111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-21111111100−i3i30−i3i30−i3i3−i3i30−i3i30−i3i30000000000000000
χ302222-12-1-1222-2-2-1-122-1-1-1-1222-12-1-1-2-2-2-2-12-1-1-2-1-1-1222-1-1-1-1-1-1-1-122-1-1-1-12211-2-21111-2-211-2-211111111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-21111111100i3−i30i3−i30i3−i3i3−i30i3−i30i3−i30000000000000000
χ312222-12-1-12-2-222-1-122-1-1-1-1222-12-1-12222-12-1-1-2-1-1-1222-1-1-1-1-1-111-2-21111-2-211-2-21111-2-2-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-2111111111111-2-2-2-2111111112-2-1-12-1-12-1-111-211-2110000000000000000
χ322222-12-1-12-2-222-1-122-1-1-1-1222-12-1-12222-12-1-1-2-1-1-1222-1-1-1-1-1-111-2-21111-2-211-2-21111-2-2-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-2111111111111-2-2-2-211111111-2211-211-211-1-12-1-12-1-10000000000000000
χ332222-12-1-12-2-2-2-2-1-122-1-1-1-1222-12-1-1-2-2-2-2-12-1-12-1-1-1222-1-1-1-1-1-111-2-21111-2-2-1-122-1-1-1-12211-2-211111111-2-2-2-2111111111111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-100−i3i30−i3i30−i3i3i3−i30i3−i30i3−i30000000000000000
χ342222-12-1-12-2-2-2-2-1-122-1-1-1-1222-12-1-1-2-2-2-2-12-1-12-1-1-1222-1-1-1-1-1-111-2-21111-2-2-1-122-1-1-1-12211-2-211111111-2-2-2-2111111111111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-100i3−i30i3−i30i3−i3−i3i30−i3i30−i3i30000000000000000
χ352222-1-12-122222-1-1-1-122-1-1222-1-12-12222-1-12-12-1-1-1-1-1-1222-1-1-1-1-1-1-122-1-122-1-1-1-122-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-122-1-1-12-1-1-12-1-1-12-1-1-120000000000000000
χ362222-1-12-122222-1-1-1-122-1-1222-1-12-12222-1-12-12-1-1-1-1-1-1222-1-1-1-1-1-1-122-1-122-1-1-1-122-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-2-2111-2111-2111-2111-20000000000000000
χ372222-1-12-1222-2-2-1-1-1-122-1-1222-1-12-1-2-2-2-2-1-12-1-2-1-1-1-1-1-1222-1-1-1-1-1-1-122-1-1221111-2-211-2-21111-2-21111111111-2-2-2-21111-1-1-1-1-1-1-1-12222-1-1-1-111111111-2-2-2-2111100−i3i3i30−i3−i3i30−i3i3i30−i3−i3i300000000000000000
χ382222-1-12-1222-2-2-1-1-1-122-1-1222-1-12-1-2-2-2-2-1-12-1-2-1-1-1-1-1-1222-1-1-1-1-1-1-122-1-1221111-2-211-2-21111-2-21111111111-2-2-2-21111-1-1-1-1-1-1-1-12222-1-1-1-111111111-2-2-2-2111100i3−i3−i30i3i3−i30i3−i3−i30i3i3−i300000000000000000
χ392222-1-12-12-2-222-1-1-1-122-1-1222-1-12-12222-1-12-1-2-1-1-1-1-1-1222-1-1-11111-2-211-2-21111-2-211-2-2-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-111111111-2-2-2-2111111111111-2-2-2-211112-2-1-1-12-1-1-12111-2111-20000000000000000
χ402222-1-12-12-2-222-1-1-1-122-1-1222-1-12-12222-1-12-1-2-1-1-1-1-1-1222-1-1-11111-2-211-2-21111-2-211-2-2-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-111111111-2-2-2-2111111111111-2-2-2-21111-22111-2111-2-1-1-12-1-1-120000000000000000
χ412222-1-12-12-2-2-2-2-1-1-1-122-1-1222-1-12-1-2-2-2-2-1-12-12-1-1-1-1-1-1222-1-1-11111-2-211-2-2-1-1-1-122-1-1221111-2-21111111111-2-2-2-2111111111111-2-2-2-21111-1-1-1-1-1-1-1-12222-1-1-1-100−i3i3i30−i3−i3i30i3−i3−i30i3i3−i300000000000000000
χ422222-1-12-12-2-2-2-2-1-1-1-122-1-1222-1-12-1-2-2-2-2-1-12-12-1-1-1-1-1-1222-1-1-11111-2-211-2-2-1-1-1-122-1-1221111-2-21111111111-2-2-2-2111111111111-2-2-2-21111-1-1-1-1-1-1-1-12222-1-1-1-100i3−i3−i30i3i3−i30−i3i3i30−i3−i3i300000000000000000
χ432222-1-1-1222222-1-1-1-1-1-122222-1-1-122222-1-1-122-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-12222-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-12-12-1-1-1-1-12-12-10000000000000000
χ442222-1-1-1222222-1-1-1-1-1-122222-1-1-122222-1-1-122-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-12222-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-2-21111-21-211111-21-210000000000000000
χ452222-1-1-12222-2-2-1-1-1-1-1-122222-1-1-12-2-2-2-2-1-1-12-2-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-12222111111-2-2-2-2111111-2-2111111111111-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-12222111111111111-2-2-2-200−i3i3−i3i30i30−i3−i3i3−i3i30i30−i30000000000000000
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χ1594-4-44-2-2-24-200-44222222-4-42-22-2-2-2422-2-2111-20-11-1-11-1-11-12-22000000000000000000002-22-22-2-44-11-11-11-11-11-112-22-2−3i3i3i−3i−3i3i3i−3i3i−3i−3i3i00003i−3i−3i3i3i−3i−3i3i−3i3i3i−3i00000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.