Finite Group Databasebeta

← Group #13144828

Character table — Group #13144828

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164
size11111111111111111111111122222222222244444444444466666666666666666666666666666666121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212181818181818181818181818181818181818181818181818363636363636363636363636
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χ4111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
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χ1354-444-4-44-444-4-44444-4-4-4-444-4-4000000000000000000000000-2-24-22-22-2-442-2-22-22-22-224-44-4-22-2222-42000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1364-444-4-44-444-4-44444-4-4-4-444-4-4000000000000000000000000-2-2-242-22-22-2-44-22-22-22-22-22-224-44-4222-4000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1374-44-4-44-4444-4-444-4-4-4-444-4-4440000000000000000000000004-2-2-2-442-22-22-2-44-442-22-22-22-22-22-2-4222000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1384-44-4-44-4444-4-444-4-4-4-444-4-444000000000000000000000000-24-2-22-2-442-22-22-22-2-44-442-22-22-22-22-422000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1394-44-4-44-4444-4-444-4-4-4-444-4-444000000000000000000000000-2-24-22-22-2-442-22-22-22-22-2-44-442-22-222-42000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1404-44-4-44-4444-4-444-4-4-4-444-4-444000000000000000000000000-2-2-242-22-22-2-442-22-22-22-22-22-2-44-44222-4000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ14166-66-66-6-6−3−3i3−3+3i3−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i33+3i33−3i30000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000002i−2i2i−2i000000002ζ112ζ7−2ζ11−2ζ72ζ112ζ7−2ζ11−2ζ7000000000000
χ14266-66-66-6-6−3−3i3−3+3i3−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i33+3i33−3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000−2i2i−2i2i00000000−2ζ11−2ζ72ζ112ζ7−2ζ11−2ζ72ζ112ζ7000000000000
χ14366-66-66-6-6−3+3i3−3−3i3−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i33−3i33+3i30000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000002i−2i2i−2i000000002ζ72ζ11−2ζ7−2ζ112ζ72ζ11−2ζ7−2ζ11000000000000
χ14466-66-66-6-6−3+3i3−3−3i3−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i33−3i33+3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000−2i2i−2i2i00000000−2ζ7−2ζ112ζ72ζ11−2ζ7−2ζ112ζ72ζ11000000000000
χ14566-6-6-6-666−3−3i3−3+3i3−3−3i3−3+3i33+3i33−3i33+3i33−3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i3−3−3i3−3+3i30000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000002-2-2200000000−1−i3−1+i31+i31−i31+i31−i3−1−i3−1+i3000000000000
χ14666-6-6-6-666−3−3i3−3+3i3−3−3i3−3+3i33+3i33−3i33+3i33−3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i3−3−3i3−3+3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000-222-2000000001+i31−i3−1−i3−1+i3−1−i3−1+i31+i31−i3000000000000
χ14766-6-6-6-666−3+3i3−3−3i3−3+3i3−3−3i33−3i33+3i33−3i33+3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i3−3+3i3−3−3i30000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000002-2-2200000000−1+i3−1−i31−i31+i31−i31+i3−1+i3−1−i3000000000000
χ14866-6-6-6-666−3+3i3−3−3i3−3+3i3−3−3i33−3i33+3i33−3i33+3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i3−3+3i3−3−3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000-222-2000000001−i31+i3−1+i3−1−i3−1+i3−1−i31−i31+i3000000000000
χ1496-666-6-66-6−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i3−3−3i3−3+3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000002i−2i2i−2i00002ζ112ζ7−2ζ11−2ζ72ζ112ζ7−2ζ11−2ζ700000000000000000000
χ1506-666-6-66-6−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i3−3−3i3−3+3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000−2i2i−2i2i0000−2ζ11−2ζ72ζ112ζ7−2ζ11−2ζ72ζ112ζ700000000000000000000
χ1516-666-6-66-6−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i3−3+3i3−3−3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000002i−2i2i−2i00002ζ72ζ11−2ζ7−2ζ112ζ72ζ11−2ζ7−2ζ1100000000000000000000
χ1526-666-6-66-6−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i3−3+3i3−3−3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000−2i2i−2i2i0000−2ζ7−2ζ112ζ72ζ11−2ζ7−2ζ112ζ72ζ1100000000000000000000
χ1536-66-6-66-66−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000002-2-220000−1−i3−1+i31+i31−i31+i31−i3−1−i3−1+i300000000000000000000
χ1546-66-6-66-66−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000-222-200001+i31−i3−1−i3−1+i3−1−i3−1+i31+i31−i300000000000000000000
χ1556-66-6-66-66−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000002-2-220000−1+i3−1−i31−i31+i31−i31+i3−1+i3−1−i300000000000000000000
χ1566-66-6-66-66−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000-222-200001−i31+i3−1+i3−1−i3−1+i3−1−i31−i31+i300000000000000000000
χ1576-6-666-6-66−3−3i3−3+3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i3−3−3i3−3+3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i36-66-6−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1586-6-666-6-66−3−3i3−3+3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i3−3−3i3−3+3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i3-66-663+3i33−3i3−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1596-6-666-6-66−3+3i3−3−3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i3−3+3i3−3−3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i36-66-6−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1606-6-666-6-66−3+3i3−3−3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i3−3+3i3−3−3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i3-66-663−3i33+3i3−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1616-6-6-6666-6−3−3i3−3+3i33+3i33−3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i3−3−3i3−3+3i3−3−3i3−3+3i33+3i33−3i36-6-66−3−3i3−3+3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1626-6-6-6666-6−3−3i3−3+3i33+3i33−3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i3−3−3i3−3+3i3−3−3i3−3+3i33+3i33−3i3-666-63+3i33−3i3−3−3i3−3+3i3−3−3i3−3+3i33+3i33−3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1636-6-6-6666-6−3+3i3−3−3i33−3i33+3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i3−3+3i3−3−3i3−3+3i3−3−3i33−3i33+3i36-6-66−3+3i3−3−3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1646-6-6-6666-6−3+3i3−3−3i33−3i33+3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i3−3+3i3−3−3i3−3+3i3−3−3i33−3i33+3i3-666-63−3i33+3i3−3+3i3−3−3i3−3+3i3−3−3i33−3i33+3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.