Finite Group Databasebeta

← Group #13159341

Character table — Group #13159341

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156
size11112222222222222222222222444444444444444444444444444444444444444444446666666666666666666688888888888888888888888888121212121212121212121212121212121212121212121212121236363636363636367272108108108108
order1222333334466666666666666633334466666666666612121212121212121212121212121212121212121212121212122244666666666666666612121212121212121212121212121212121212121212121212124412121212121212121212121212121212121212121212121244882424242412124488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1
χ6111111111111111111111111111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111
χ7111111111111111111111111111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-111-1-111
χ8111111111111111111111111111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-1111111-1-111-1-1
χ911-1-111111-11-1-1-1-11-11111-1-1-1-1-11111i−i-1-1-1-11111-1-1-1-1-11111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11-11-111111111-1-1-1-1-1-1-1-1i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−ii−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−ii−i1-111-1-1i−ii−i1-1
χ1011-1-111111-11-1-1-1-11-11111-1-1-1-1-11111i−i-1-1-1-11111-1-1-1-1-11111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11-11-111111111-1-1-1-1-1-1-1-1i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−ii−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−ii-11-1-111−ii−ii-11
χ1111-1-111111-11-1-1-1-11-11111-1-1-1-1-11111i−i-1-1-1-11111-1-1-1-1-11111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1-11-11-1-1-1-1-1-1-1-111111111i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−ii-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiiii−i1-111-1-1i−i−ii-11
χ1211-1-111111-11-1-1-1-11-11111-1-1-1-1-11111i−i-1-1-1-11111-1-1-1-1-11111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1-11-11-1-1-1-1-1-1-1-111111111i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−ii-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii−ii-11-1-111−iii−i1-1
χ1311-1-111111-11-1-1-1-11-11111-1-1-1-1-11111−ii-1-1-1-11111-1-1-1-1-11111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11-11-111111111-1-1-1-1-1-1-1-1−ii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−ii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiii−i-11-1-111i−ii−i-11
χ1411-1-111111-11-1-1-1-11-11111-1-1-1-1-11111−ii-1-1-1-11111-1-1-1-1-11111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11-11-111111111-1-1-1-1-1-1-1-1−ii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−ii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−ii1-111-1-1−ii−ii1-1
χ1511-1-111111-11-1-1-1-11-11111-1-1-1-1-11111−ii-1-1-1-11111-1-1-1-1-11111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1-11-11-1-1-1-1-1-1-1-111111111−ii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiii−i-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−ii−i-11-1-111i−i−ii1-1
χ1611-1-111111-11-1-1-1-11-11111-1-1-1-1-11111−ii-1-1-1-11111-1-1-1-1-11111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1-11-11-1-1-1-1-1-1-1-111111111−ii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiii−i-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i−ii1-111-1-1−iii−i-11
χ17222222222-2-2222222222222222222200222222222222-2-2-2-2-2-2-2-2-20000000000000000-222-2-2222222222222222200-2-2-2-2-2-2-2-2000000000000000000-2-2-2-2-2-2-2-2000000000000000000000000000000
χ18222222222-2-2222222222222222222200222222222222-2-2-2-2-2-2-2-2-20000000000000000-2-2-222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200-2-2-2-2-2-2-2-200000000000000000022222222000000000000000000000000000000
χ19222222-1-1-1222-1-1-1222-1-1-12-1-1-122-1-1-1222-1-1-12-1-1-12-1-1-122-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12222222-1-1-1-1-1-122-1-1-1-1-1-1222-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1222-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-100000000000000
χ20222222-1-1-1222-1-1-1222-1-1-12-1-1-122-1-1-1222-1-1-12-1-1-12-1-1-122-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12-2-2-2-2-2-2111111-2-2111111222-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2111-2111-2-2111111-2-211111100000000000000
χ21222222-1-1-1222-1-1-1222-1-1-12-1-1-122-1-1-1-2-22-1-1-12-1-1-12-1-1-122-1-1-12-1-1-1-2-2111111-2-21111112222222-1-1-1-1-1-122-1-1-1-1-1-1-2-22-1-1-12-1-1-1-2-2111111-2-2111111-2-22-1-1-12-1-1-1-2-2111111-2-211111100000000000000
χ22222222-1-1-1222-1-1-1222-1-1-12-1-1-122-1-1-1-2-22-1-1-12-1-1-12-1-1-122-1-1-12-1-1-1-2-2111111-2-21111112-2-2-2-2-2-2111111-2-2111111-2-22-1-1-12-1-1-1-2-2111111-2-211111122-2111-211122-1-1-1-1-1-122-1-1-1-1-1-100000000000000
χ23222222-1-1-1-2-22-1-1-1222-1-1-12-1-1-122-1-1-1002-1-1-12-1-1-12-1-1-1-2-2111-211100−i3−i3−i3i3i3i300−i3−i3−i3i3i3i3-222-2-222-1-1-1-1-1-122-1-1-1-1-1-100-2111-211100−i3−i3−i3i3i3i300−i3−i3−i3i3i3i300-2111-211100−i3−i3−i3i3i3i300−i3−i3−i3i3i3i300000000000000
χ24222222-1-1-1-2-22-1-1-1222-1-1-12-1-1-122-1-1-1002-1-1-12-1-1-12-1-1-1-2-2111-211100−i3−i3−i3i3i3i300−i3−i3−i3i3i3i3-2-2-222-2-2111111-2-211111100-2111-211100−i3−i3−i3i3i3i300−i3−i3−i3i3i3i3002-1-1-12-1-1-100i3i3i3−i3−i3−i300i3i3i3−i3−i3−i300000000000000
χ25222222-1-1-1-2-22-1-1-1222-1-1-12-1-1-122-1-1-1002-1-1-12-1-1-12-1-1-1-2-2111-211100i3i3i3−i3−i3−i300i3i3i3−i3−i3−i3-222-2-222-1-1-1-1-1-122-1-1-1-1-1-100-2111-211100i3i3i3−i3−i3−i300i3i3i3−i3−i3−i300-2111-211100i3i3i3−i3−i3−i300i3i3i3−i3−i3−i300000000000000
χ26222222-1-1-1-2-22-1-1-1222-1-1-12-1-1-122-1-1-1002-1-1-12-1-1-12-1-1-1-2-2111-211100i3i3i3−i3−i3−i300i3i3i3−i3−i3−i3-2-2-222-2-2111111-2-211111100-2111-211100i3i3i3−i3−i3−i300i3i3i3−i3−i3−i3002-1-1-12-1-1-100−i3−i3−i3i3i3i300−i3−i3−i3i3i3i300000000000000
χ2722222-12-1-122-12-1-122-12-1-1-12-1-12-12-1-122-12-1-1-12-1-1-12-1-12-12-1-1-12-1-1-1-12-1-12-1-1-1-12-1-12-1-122222-1-122-1-1-1-1-1-122-1-1-1-122-12-1-1-12-1-1-1-12-1-12-1-1-1-12-1-12-1-122-12-1-1-12-1-1-1-12-1-12-1-1-1-12-1-12-1-100000000000000
χ2822222-12-1-122-12-1-122-12-1-1-12-1-12-12-1-122-12-1-1-12-1-1-12-1-12-12-1-1-12-1-1-1-12-1-12-1-1-1-12-1-12-1-12-2-2-2-211-2-2111111-2-2111122-12-1-1-12-1-1-1-12-1-12-1-1-1-12-1-12-1-1-2-21-2111-21111-211-21111-211-21100000000000000
χ2922222-12-1-122-12-1-122-12-1-1-12-1-12-12-1-1-2-2-12-1-1-12-1-1-12-1-12-12-1-1-12-1-111-211-21111-211-21122222-1-122-1-1-1-1-1-122-1-1-1-1-2-2-12-1-1-12-1-111-211-21111-211-211-2-2-12-1-1-12-1-111-211-21111-211-21100000000000000
χ3022222-12-1-122-12-1-122-12-1-1-12-1-12-12-1-1-2-2-12-1-1-12-1-1-12-1-12-12-1-1-12-1-111-211-21111-211-2112-2-2-2-211-2-2111111-2-21111-2-2-12-1-1-12-1-111-211-21111-211-211221-2111-211-1-12-1-12-1-1-1-12-1-12-1-100000000000000
χ3122222-12-1-1-2-2-12-1-122-12-1-1-12-1-12-12-1-100-12-1-1-12-1-1-12-1-1-21-2111-211−i3i30−i3i30−i3i3−i3i30−i3i30−i3i3-222-2-2-1-122-1-1-1-1-1-122-1-1-1-1001-2111-211−i3i30−i3i30−i3i3−i3i30−i3i30−i3i3001-2111-211−i3i30−i3i30−i3i3−i3i30−i3i30−i3i300000000000000
χ3222222-12-1-1-2-2-12-1-122-12-1-1-12-1-12-12-1-100-12-1-1-12-1-1-12-1-1-21-2111-211−i3i30−i3i30−i3i3−i3i30−i3i30−i3i3-2-2-22211-2-2111111-2-21111001-2111-211−i3i30−i3i30−i3i3−i3i30−i3i30−i3i300-12-1-1-12-1-1i3−i30i3−i30i3−i3i3−i30i3−i30i3−i300000000000000
χ3322222-12-1-1-2-2-12-1-122-12-1-1-12-1-12-12-1-100-12-1-1-12-1-1-12-1-1-21-2111-211i3−i30i3−i30i3−i3i3−i30i3−i30i3−i3-222-2-2-1-122-1-1-1-1-1-122-1-1-1-1001-2111-211i3−i30i3−i30i3−i3i3−i30i3−i30i3−i3001-2111-211i3−i30i3−i30i3−i3i3−i30i3−i30i3−i300000000000000
χ3422222-12-1-1-2-2-12-1-122-12-1-1-12-1-12-12-1-100-12-1-1-12-1-1-12-1-1-21-2111-211i3−i30i3−i30i3−i3i3−i30i3−i30i3−i3-2-2-22211-2-2111111-2-21111001-2111-211i3−i30i3−i30i3−i3i3−i30i3−i30i3−i300-12-1-1-12-1-1−i3i30−i3i30−i3i3−i3i30−i3i30−i3i300000000000000
χ3522222-1-12-122-1-12-122-1-12-1-1-12-12-1-12-122-1-12-1-1-12-1-1-12-12-1-12-1-1-12-1-1-1-12-1-1-12-1-1-12-1-1-1222222-1-1-1-122-1-1-1-1-1-122-1-122-1-12-1-1-12-1-1-1-12-1-1-12-1-1-12-1-1-1222-1-12-1-1-12-1-1-1-12-1-1-12-1-1-12-1-1-1200000000000000
χ3622222-1-12-122-1-12-122-1-12-1-1-12-12-1-12-122-1-12-1-1-12-1-1-12-12-1-12-1-1-12-1-1-1-12-1-1-12-1-1-12-1-1-122-2-2-2-21111-2-2111111-2-21122-1-12-1-1-12-1-1-1-12-1-1-12-1-1-12-1-1-12-2-211-2111-21111-2111-2111-2111-200000000000000
χ3722222-1-12-122-1-12-122-1-12-1-1-12-12-1-12-1-2-2-1-12-1-1-12-1-1-12-12-1-12-1-1-12-1111-2111-2111-2111-222222-1-1-1-122-1-1-1-1-1-122-1-1-2-2-1-12-1-1-12-1111-2111-2111-2111-2-2-2-1-12-1-1-12-1111-2111-2111-2111-200000000000000
χ3822222-1-12-122-1-12-122-1-12-1-1-12-12-1-12-1-2-2-1-12-1-1-12-1-1-12-12-1-12-1-1-12-1111-2111-2111-2111-22-2-2-2-21111-2-2111111-2-211-2-2-1-12-1-1-12-1111-2111-2111-2111-22211-2111-21-1-1-12-1-1-12-1-1-12-1-1-1200000000000000
χ3922222-1-12-1-2-2-1-12-122-1-12-1-1-12-12-1-12-100-1-12-1-1-12-1-1-12-1-211-2111-21−i3i3i30−i3−i3i30−i3i3i30−i3−i3i30-222-2-2-1-1-1-122-1-1-1-1-1-122-1-10011-2111-21−i3i3i30−i3−i3i30−i3i3i30−i3−i3i300011-2111-21−i3i3i30−i3−i3i30−i3i3i30−i3−i3i3000000000000000
χ4022222-1-12-1-2-2-1-12-122-1-12-1-1-12-12-1-12-100-1-12-1-1-12-1-1-12-1-211-2111-21−i3i3i30−i3−i3i30−i3i3i30−i3−i3i30-2-2-2221111-2-2111111-2-2110011-2111-21−i3i3i30−i3−i3i30−i3i3i30−i3−i3i3000-1-12-1-1-12-1i3−i3−i30i3i3−i30i3−i3−i30i3i3−i3000000000000000
χ4122222-1-12-1-2-2-1-12-122-1-12-1-1-12-12-1-12-100-1-12-1-1-12-1-1-12-1-211-2111-21i3−i3−i30i3i3−i30i3−i3−i30i3i3−i30-222-2-2-1-1-1-122-1-1-1-1-1-122-1-10011-2111-21i3−i3−i30i3i3−i30i3−i3−i30i3i3−i300011-2111-21i3−i3−i30i3i3−i30i3−i3−i30i3i3−i3000000000000000
χ4222222-1-12-1-2-2-1-12-122-1-12-1-1-12-12-1-12-100-1-12-1-1-12-1-1-12-1-211-2111-21i3−i3−i30i3i3−i30i3−i3−i30i3i3−i30-2-2-2221111-2-2111111-2-2110011-2111-21i3−i3−i30i3i3−i30i3−i3−i30i3i3−i3000-1-12-1-1-12-1−i3i3i30−i3−i3i30−i3i3i30−i3−i3i3000000000000000
χ4322222-1-1-1222-1-1-1222-1-1-12-1-1-122-1-1-1222-1-1-12-1-1-12-1-1-122-1-1-12-1-1-12-1-1-1-12-12-1-1-1-1-12-12-122222-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-12-1-1-12-1-1-1-12-12-1-1-1-1-12-12-122-1-1-12-1-1-12-1-1-1-12-12-1-1-1-1-12-12-100000000000000
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χ974444-24-2-2-2-4-44-2-2-2-2-24-2-2-24-2-2-2-2-211100-2111-2111-21112-4222-4222002i32i32i3−2i3−2i3−2i3002i32i32i3−2i3−2i3−2i3200000000000000000000002-1-1-12-1-1-100−i3−i3−i3i3i3i300−i3−i3−i3i3i3i30000000000000000000000000000000000000000
χ984444-2-24-2-244-24-2-2-2-2-24-2-2-24-2-2-21-211441-2111-2111-211-2-24-2-2-24-2-2-2-24-2-24-2-2-2-24-2-24-2-2-200000000000000000000-2-21-2111-21111-211-21111-211-2110000000000000000000000000000000000000000
χ994444-2-24-2-244-24-2-2-2-2-24-2-2-24-2-2-21-211-4-41-2111-2111-211-2-24-2-2-24-2-222-422-42222-422-422-200000000000000000000221-2111-211-1-12-1-12-1-1-1-12-1-12-1-10000000000000000000000000000000000000000
χ1004444-2-24-2-2-4-4-24-2-2-2-2-24-2-2-24-2-2-21-211001-2111-2111-21122-4222-422−2i32i30−2i32i30−2i32i3−2i32i30−2i32i30−2i32i320000000000000000000000-12-1-1-12-1-1i3−i30i3−i30i3−i3i3−i30i3−i30i3−i30000000000000000000000000000000000000000
χ1014444-2-24-2-2-4-4-24-2-2-2-2-24-2-2-24-2-2-21-211001-2111-2111-21122-4222-4222i3−2i302i3−2i302i3−2i32i3−2i302i3−2i302i3−2i320000000000000000000000-12-1-1-12-1-1−i3i30−i3i30−i3i3−i3i30−i3i30−i3i30000000000000000000000000000000000000000
χ1024444-2-2-24-244-2-24-2-2-2-2-24-2-2-24-2-211-214411-2111-2111-21-2-2-24-2-2-24-2-2-2-24-2-2-24-2-2-24-2-2-24-200000000000000000000-2-211-2111-21111-2111-2111-2111-20000000000000000000000000000000000000000
χ1034444-2-2-24-244-2-24-2-2-2-2-24-2-2-24-2-211-21-4-411-2111-2111-21-2-2-24-2-2-24-2222-4222-4222-4222-4-2000000000000000000002211-2111-21-1-1-12-1-1-12-1-1-12-1-1-120000000000000000000000000000000000000000
χ1044444-2-2-24-2-4-4-2-24-2-2-2-2-24-2-2-24-2-211-210011-2111-2111-21222-4222-42−2i32i32i30−2i3−2i32i30−2i32i32i30−2i3−2i32i3020000000000000000000000-1-12-1-1-12-1i3−i3−i30i3i3−i30i3−i3−i30i3i3−i300000000000000000000000000000000000000000
χ1054444-2-2-24-2-4-4-2-24-2-2-2-2-24-2-2-24-2-211-210011-2111-2111-21222-4222-422i3−2i3−2i302i32i3−2i302i3−2i3−2i302i32i3−2i3020000000000000000000000-1-12-1-1-12-1−i3i3i30−i3−i3i30−i3i3i30−i3−i3i300000000000000000000000000000000000000000
χ1064444-2-2-2-2444-2-2-24-2-2-2-2-24-2-2-24-2111-244111-2111-2111-2-2-2-2-24-2-2-24-2-2-2-24-24-2-2-2-2-24-24-2-200000000000000000000-2-2111-2111-21111-21-211111-21-210000000000000000000000000000000000000000
χ1074444-2-2-2-2444-2-2-24-2-2-2-2-24-2-2-24-2111-2-4-4111-2111-2111-2-2-2-2-24-2-2-242222-42-422222-42-42-20000000000000000000022111-2111-2-1-1-1-12-12-1-1-1-1-12-12-10000000000000000000000000000000000000000
χ1084444-2-2-2-24-4-4-2-2-24-2-2-2-2-24-2-2-24-2111-200111-2111-2111-22222-4222-4−2i32i3−2i32i302i30−2i3−2i32i3−2i32i302i30−2i320000000000000000000000-1-1-12-1-1-12i3−i3i3−i30−i30i3i3−i3i3−i30−i30i30000000000000000000000000000000000000000
χ1094444-2-2-2-24-4-4-2-2-24-2-2-2-2-24-2-2-24-2111-200111-2111-2111-22222-4222-42i3−2i32i3−2i30−2i302i32i3−2i32i3−2i30−2i302i320000000000000000000000-1-1-12-1-1-12−i3i3−i3i30i30−i3−i3i3−i3i30i30−i30000000000000000000000000000000000000000
χ11044-4-4-244444-4-4-4-4-4-224444-4-4-4-42-2-2-2-2002222-2-2-2-22222-2-4-4-4-444440000000000000000200000000000000000000002222-2-2-2-200000000000000000000000000000000000000000000000000000000
χ11144-4-4-24-2-2-24-4-4222-224-2-2-2-42222-2111002-1-1-1-21112-1-1-1-2-42224-2-2-200232323−23−23−2300−23−23−23232323200000000000000000000002-1-1-1-211100−3−3−333300333−3−3−30000000000000000000000000000000000000000
χ11244-4-4-24-2-2-24-4-4222-224-2-2-2-42222-2111002-1-1-1-21112-1-1-1-2-42224-2-2-200−23−23−2323232300232323−23−23−23200000000000000000000002-1-1-1-211100333−3−3−300−3−3−33330000000000000000000000000000000000000000
χ11344-4-4-24-2-2-2-44-4222-224-2-2-2-42222-21114i−4i2-1-1-1-21112-1-1-124-2-2-2-42224i4i−2i−2i−2i−2i−2i−2i−4i−4i2i2i2i2i2i2i-200000000000000000000−2i2i-21112-1-1-1−2i−2iiiiiii2i2i−i−i−i−i−i−i0000000000000000000000000000000000000000
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χ11544-4-4-2-24-2-24-42-422-22-24-2-22-42221-21100-12-1-11-211-12-1-1-22-422-24-2-223−23023−23023−23−23230−23230−232320000000000000000000000-12-1-11-211−330−330−333−303−303−30000000000000000000000000000000000000000
χ11644-4-4-2-24-2-24-42-422-22-24-2-22-42221-21100-12-1-11-211-12-1-1-22-422-24-2-2−23230−23230−232323−23023−23023−2320000000000000000000000-12-1-11-2113−303−303−3−330−330−330000000000000000000000000000000000000000
χ11744-4-4-2-24-2-2-442-422-22-24-2-22-42221-2114i−4i-12-1-11-211-12-1-12-24-2-22-422−2i−2i4i−2i−2i4i−2i−2i2i2i−4i2i2i−4i2i2i-200000000000000000000−2i2i1-211-12-1-1ii−2iii−2iii−i−i2i−i−i2i−i−i0000000000000000000000000000000000000000
χ11844-4-4-2-24-2-2-442-422-22-24-2-22-42221-211−4i4i-12-1-11-211-12-1-12-24-2-22-4222i2i−4i2i2i−4i2i2i−2i−2i4i−2i−2i4i−2i−2i-2000000000000000000002i−2i1-211-12-1-1−i−i2i−i−i2i−i−iii−2iii−2iii0000000000000000000000000000000000000000
χ11944-4-4-2-2-24-24-422-42-22-2-24-222-42211-2100-1-12-111-21-1-12-1-222-42-2-24-223−23−2302323−230−2323230−23−2323020000000000000000000000-1-12-111-21−3330−3−3303−3−3033−300000000000000000000000000000000000000000
χ12044-4-4-2-2-24-24-422-42-22-2-24-222-42211-2100-1-12-111-21-1-12-1-222-42-2-24-2−2323230−23−2323023−23−2302323−23020000000000000000000000-1-12-111-213−3−3033−30−3330−3−3300000000000000000000000000000000000000000
χ12144-4-4-2-2-24-2-4422-42-22-2-24-222-42211-214i−4i-1-12-111-21-1-12-12-2-24-222-42−2i−2i−2i4i−2i−2i−2i4i2i2i2i−4i2i2i2i−4i-200000000000000000000−2i2i11-21-1-12-1iii−2iiii−2i−i−i−i2i−i−i−i2i0000000000000000000000000000000000000000
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χ12344-4-4-2-2-2-244-4222-4-22-2-2-24222-42111-200-1-1-12111-2-1-1-12-2222-4-2-2-2423−2323−230−23023−2323−23230230−2320000000000000000000000-1-1-12111-2−33−33030−33−33−30−3030000000000000000000000000000000000000000
χ12444-4-4-2-2-2-244-4222-4-22-2-2-24222-42111-200-1-1-12111-2-1-1-12-2222-4-2-2-24−2323−23230230−2323−2323−230−2302320000000000000000000000-1-1-12111-23−33−30−303−33−33030−30000000000000000000000000000000000000000
χ12544-4-4-2-2-2-24-44222-4-22-2-2-24222-42111-24i−4i-1-1-12111-2-1-1-122-2-2-24222-4−2i−2i−2i−2i4i−2i4i−2i2i2i2i2i−4i2i−4i2i-200000000000000000000−2i2i111-2-1-1-12iiii−2ii−2ii−i−i−i−i2i−i2i−i0000000000000000000000000000000000000000
χ12644-4-4-2-2-2-24-44222-4-22-2-2-24222-42111-2−4i4i-1-1-12111-2-1-1-122-2-2-24222-42i2i2i2i−4i2i−4i2i−2i−2i−2i−2i4i−2i4i−2i-2000000000000000000002i−2i111-2-1-1-12−i−i−i−i2i−i2i−iiiii−2ii−2ii0000000000000000000000000000000000000000
χ1274-44-444444004444-4-4-4-4-4-4-4-4-4-444444004444-4-4-4-4-4-4-4-40000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1284-44-444-2-2-2004-2-2-2-4-4-4222-422244-2-2-2004-2-2-2-4222-422200000000000000000000000000000000−2i32i3−2i32i3−2i32i300−2i32i3−2i32i3−2i32i3000000000000000000000000000000000000000000000000000000000000000000
χ1294-44-444-2-2-2004-2-2-2-4-4-4222-422244-2-2-2004-2-2-2-4222-4222000000000000000000000000000000002i3−2i32i3−2i32i3−2i3002i3−2i32i3−2i32i3−2i3000000000000000000000000000000000000000000000000000000000000000000
χ1304-44-44-24-2-200-24-2-2-4-42-4222-4224-24-2-200-24-2-22-4222-422000000000000000000000000000000−2i32i300−2i32i32i3−2i3−2i32i300−2i32i32i3−2i3000000000000000000000000000000000000000000000000000000000000000000
χ1314-44-44-24-2-200-24-2-2-4-42-4222-4224-24-2-200-24-2-22-4222-4220000000000000000000000000000002i3−2i3002i3−2i3−2i32i32i3−2i3002i3−2i3−2i32i3000000000000000000000000000000000000000000000000000000000000000000
χ1324-44-44-2-24-200-2-24-2-4-422-4222-424-2-24-200-2-24-222-4222-42000000000000000000000000000000−2i32i32i3−2i300−2i32i3−2i32i32i3−2i300−2i32i3000000000000000000000000000000000000000000000000000000000000000000
χ1334-44-44-2-24-200-2-24-2-4-422-4222-424-2-24-200-2-24-222-4222-420000000000000000000000000000002i3−2i3−2i32i3002i3−2i32i3−2i3−2i32i3002i3−2i3000000000000000000000000000000000000000000000000000000000000000000
χ1344-44-44-2-2-2400-2-2-24-4-4222-4222-44-2-2-2400-2-2-24222-4222-4000000000000000000000000000000−2i32i3−2i32i32i3−2i300−2i32i3−2i32i32i3−2i300000000000000000000000000000000000000000000000000000000000000000000
χ1354-44-44-2-2-2400-2-2-24-4-4222-4222-44-2-2-2400-2-2-24222-4222-40000000000000000000000000000002i3−2i32i3−2i3−2i32i3002i3−2i32i3−2i3−2i32i300000000000000000000000000000000000000000000000000000000000000000000
χ1364-44-4-2444400444422-4-4-4-4-4-4-4-4-2-2-2-2-200-2-2-2-2222222220000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000006−66−6000000
χ1374-44-4-2444400444422-4-4-4-4-4-4-4-4-2-2-2-2-200-2-2-2-222222222000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000−66−66000000
χ1384-4-444444400-4-4-4-4-44-4-4-4-44444-4444400-4-4-4-4-4-4-4-444440000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1394-4-4444-2-2-200-4222-44-42224-2-2-2-44-2-2-200-4222-42224-2-2-200000000000000000000000000000000−2i32i3−2i32i3−2i32i3002i3−2i32i3−2i32i3−2i3000000000000000000000000000000000000000000000000000000000000000000
χ1404-4-4444-2-2-200-4222-44-42224-2-2-2-44-2-2-200-4222-42224-2-2-2000000000000000000000000000000002i3−2i32i3−2i32i3−2i300−2i32i3−2i32i3−2i32i3000000000000000000000000000000000000000000000000000000000000000000
χ1414-4-444-24-2-2002-422-442-422-24-2-2-4-24-2-2002-4222-422-24-2-2000000000000000000000000000000−2i32i300−2i32i32i3−2i32i3−2i3002i3−2i3−2i32i3000000000000000000000000000000000000000000000000000000000000000000
χ1424-4-444-24-2-2002-422-442-422-24-2-2-4-24-2-2002-4222-422-24-2-20000000000000000000000000000002i3−2i3002i3−2i3−2i32i3−2i32i300−2i32i32i3−2i3000000000000000000000000000000000000000000000000000000000000000000
χ1434-4-444-2-24-20022-42-4422-42-2-24-2-4-2-24-20022-4222-42-2-24-2000000000000000000000000000000−2i32i32i3−2i300−2i32i32i3−2i3−2i32i3002i3−2i3000000000000000000000000000000000000000000000000000000000000000000
χ1444-4-444-2-24-20022-42-4422-42-2-24-2-4-2-24-20022-4222-42-2-24-20000000000000000000000000000002i3−2i3−2i32i3002i3−2i3−2i32i32i3−2i300−2i32i3000000000000000000000000000000000000000000000000000000000000000000
χ1454-4-444-2-2-2400222-4-44222-4-2-2-24-4-2-2-2400222-4222-4-2-2-24000000000000000000000000000000−2i32i3−2i32i32i3−2i3002i3−2i32i3−2i3−2i32i300000000000000000000000000000000000000000000000000000000000000000000
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χ1474-4-44-2444400-4-4-4-42-2-4-4-4-444442-2-2-2-20022222222-2-2-2-20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000006−6−66000000
χ1484-4-44-2444400-4-4-4-42-2-4-4-4-444442-2-2-2-20022222222-2-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000−666−6000000
χ1498-88-8-48-4-4-4008-4-4-444-8444-8444-4-422200-42224-2-2-24-2-2-20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1508-88-8-4-48-4-400-48-4-4444-8444-844-42-422002-422-24-2-2-24-2-20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1518-88-8-4-4-48-400-4-48-44444-8444-84-422-420022-42-2-24-2-2-24-20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1528-88-8-4-4-4-4800-4-4-4844444-8444-8-4222-400222-4-2-2-24-2-2-240000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1538-8-88-48-4-4-400-84444-4-84448-4-4-44-4222004-2-2-24-2-2-2-42220000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1548-8-88-4-48-4-4004-8444-44-844-48-4-442-42200-24-2-2-24-2-22-4220000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1558-8-88-4-4-48-40044-844-444-84-4-48-4422-4200-2-24-2-2-24-222-420000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1568-8-88-4-4-4-4800444-84-4444-8-4-4-484222-400-2-2-24-2-2-24222-40000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).