Finite Group Databasebeta

← Group #13153901

Character table — Group #13153901

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155
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χ1374-44-444-4-444-4-4000000−4i4i000000000000−4i−4i4i4i000000000-2-2-24-222-222-2224-4-42i2i−2i−2i2i2i−2i−2i2i2i−2i−2i−4i−4i4i4i000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1386-66-6−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i30000006i−6i0000000000006ζ116ζ7−6ζ11−6ζ7000000000000000000000000000000000000000000000000000000000000000000000000000000000000000002-22i−2i−1−i3−1+i31+i31−i32ζ112ζ7−2ζ11−2ζ7000000000000000000
χ1396-66-6−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i30000006i−6i0000000000006ζ116ζ7−6ζ11−6ζ700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000-22−2i2i1+i31−i3−1−i3−1+i3−2ζ11−2ζ72ζ112ζ7000000000000000000
χ1406-66-6−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i3000000−6i6i000000000000−6ζ11−6ζ76ζ116ζ7000000000000000000000000000000000000000000000000000000000000000000000000000000000000000002-2−2i2i−1−i3−1+i31+i31−i3−2ζ11−2ζ72ζ112ζ7000000000000000000
χ1416-66-6−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i3000000−6i6i000000000000−6ζ11−6ζ76ζ116ζ700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000-222i−2i1+i31−i3−1−i3−1+i32ζ112ζ7−2ζ11−2ζ7000000000000000000
χ1426-66-6−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i30000006i−6i0000000000006ζ76ζ11−6ζ7−6ζ11000000000000000000000000000000000000000000000000000000000000000000000000000000000000000002-22i−2i−1+i3−1−i31−i31+i32ζ72ζ11−2ζ7−2ζ11000000000000000000
χ1436-66-6−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i30000006i−6i0000000000006ζ76ζ11−6ζ7−6ζ1100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000-22−2i2i1−i31+i3−1+i3−1−i3−2ζ7−2ζ112ζ72ζ11000000000000000000
χ1446-66-6−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i3000000−6i6i000000000000−6ζ7−6ζ116ζ76ζ11000000000000000000000000000000000000000000000000000000000000000000000000000000000000000002-2−2i2i−1+i3−1−i31−i31+i3−2ζ7−2ζ112ζ72ζ11000000000000000000
χ1456-66-6−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i3000000−6i6i000000000000−6ζ7−6ζ116ζ76ζ1100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000-222i−2i1−i31+i3−1+i3−1−i32ζ72ζ11−2ζ7−2ζ11000000000000000000
χ1466-6-66−3−3i3−3+3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i36-66i−6i6i−6i00−3−3i3−3+3i33+3i33−3i36ζ116ζ7−6ζ11−6ζ76ζ116ζ7−6ζ11−6ζ7000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1476-6-66−3−3i3−3+3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i36-6−6i6i−6i6i00−3−3i3−3+3i33+3i33−3i3−6ζ11−6ζ76ζ116ζ7−6ζ11−6ζ76ζ116ζ7000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1486-6-66−3−3i3−3+3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i3-666i−6i−6i6i003+3i33−3i3−3−3i3−3+3i36ζ116ζ7−6ζ11−6ζ7−6ζ11−6ζ76ζ116ζ7000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1496-6-66−3−3i3−3+3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i3-66−6i6i6i−6i003+3i33−3i3−3−3i3−3+3i3−6ζ11−6ζ76ζ116ζ76ζ116ζ7−6ζ11−6ζ7000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1506-6-66−3+3i3−3−3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i36-66i−6i6i−6i00−3+3i3−3−3i33−3i33+3i36ζ76ζ11−6ζ7−6ζ116ζ76ζ11−6ζ7−6ζ11000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1516-6-66−3+3i3−3−3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i36-6−6i6i−6i6i00−3+3i3−3−3i33−3i33+3i3−6ζ7−6ζ116ζ76ζ11−6ζ7−6ζ116ζ76ζ11000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1526-6-66−3+3i3−3−3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i3-666i−6i−6i6i003−3i33+3i3−3+3i3−3−3i36ζ76ζ11−6ζ7−6ζ11−6ζ7−6ζ116ζ76ζ11000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1536-6-66−3+3i3−3−3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i3-66−6i6i6i−6i003−3i33+3i3−3+3i3−3−3i3−6ζ7−6ζ116ζ76ζ116ζ76ζ11−6ζ7−6ζ11000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1541212-12-12−6−6i3−6+6i3−6−6i3−6+6i36+6i36−6i36+6i36−6i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1551212-12-12−6+6i3−6−6i3−6+6i3−6−6i36−6i36+6i36−6i36+6i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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