Finite Group Databasebeta

← Group #13161488

Character table — Group #13161488

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size111122222222222222222244444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444363636363636363636363636727272727272727272727272
order1222333446666666661212121233333446666666666666661212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121288882424242424242424244466121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ5111111111111111111111111111-1-111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11-11-111-1-111-1-1
χ6111111111111111111111111111-1-111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-11-11-1-111-1-111
χ7111111111111111111111111111-1-111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-1-1111-1-1-1-111
χ8111111111111111111111111111-1-111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-111-1-1-11111-1-1
χ92222222-2-2222222222-2-2-2-2222222-2222222222222222-2-2222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000
χ102222222-2-2222222222-2-2-2-222222-22222222222222222-2-2-2-2-2-2-2-22222-2-222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222222222222222000000000000000000000000
χ11222222-12222222-1-1-1222222-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1222222-1-122-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000002200-1-1-1-10000
χ12222222-12222222-1-1-1222222-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1222222-1-122-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000-2-20011110000
χ13222222-12222222-1-1-1222222-1-1-1-1-2-2222-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-211-2-211-1-1-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111111111-2-2-2-211111111111111110000000000002-200-1-1110000
χ14222222-12222222-1-1-1222222-1-1-1-1-2-2222-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-211-2-211-1-1-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111111111-2-2-2-21111111111111111000000000000-220011-1-10000
χ15222222-1-2-222222-1-1-12-2-2-2-22-1-1-1-12-2222-1-1-1-1-1-1-1-1-1-1-1-1-2-22222-1-1-2-21111-2-2-2-2-2-211111111111111112222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111111111110000000000000000−i3i3−i3i30000
χ16222222-1-2-222222-1-1-12-2-2-2-22-1-1-1-12-2222-1-1-1-1-1-1-1-1-1-1-1-1-2-22222-1-1-2-21111-2-2-2-2-2-211111111111111112222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111111111110000000000000000i3−i3i3−i30000
χ17222222-1-2-222222-1-1-12-2-2-2-22-1-1-1-1-22222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-21122-1-11122-2-2-2-21111111111111111-2-2-2-211111111111111112222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000−i3i3i3−i30000
χ18222222-1-2-222222-1-1-12-2-2-2-22-1-1-1-1-22222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-21122-1-11122-2-2-2-21111111111111111-2-2-2-211111111111111112222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000i3−i3−i3i30000
χ1922222-1222222-1-1222-12222-12-1-1-122-1-1-1222-1-1-1-1-1-1-1-1-1-1-122-1-122222222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000000000220000-1-1-1-1
χ2022222-1222222-1-1222-12222-12-1-1-122-1-1-1222-1-1-1-1-1-1-1-1-1-1-122-1-122222222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000000000-2-200001111
χ2122222-1222222-1-1222-12222-12-1-1-1-2-2-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-2-211-2-2-2-2-2-22211-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-21111111111111111-2-2-2-2111111111111000000000000002-20000-1-111
χ2222222-1222222-1-1222-12222-12-1-1-1-2-2-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-2-211-2-2-2-2-2-22211-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-21111111111111111-2-2-2-211111111111100000000000000-22000011-1-1
χ2322222-12-2-2222-1-1222-1-2-2-2-2-12-1-1-12-2-1-1-1222-1-1-1-1-1-1-1-1-11122-1-122-2-2-2-2-2-2111111-2-2-2-2111111111111-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-211111111111100000000000000000000−i3i3−i3i3
χ2422222-12-2-2222-1-1222-1-2-2-2-2-12-1-1-12-2-1-1-1222-1-1-1-1-1-1-1-1-11122-1-122-2-2-2-2-2-2111111-2-2-2-2111111111111-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-211111111111100000000000000000000i3−i3i3−i3
χ2522222-12-2-2222-1-1222-1-2-2-2-2-12-1-1-1-22-1-1-1222-1-1-1-1-1-1-1-1-111-2-211-2-22222-2-2-1-11111-2-2-2-21111111111111111-2-2-2-2111111111111-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000−i3i3i3−i3
χ2622222-12-2-2222-1-1222-1-2-2-2-2-12-1-1-1-22-1-1-1222-1-1-1-1-1-1-1-1-111-2-211-2-22222-2-2-1-11111-2-2-2-21111111111111111-2-2-2-2111111111111-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000i3−i3−i3i3
χ272222-12222-1-1-1222222-1-1-1-1-1-12-1-122-1-1-1-1-1-1222-1-1-1-1-1-122-1-12222-1-1222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000000000
χ282222-12222-1-1-1222222-1-1-1-1-1-12-1-122-1-1-1-1-1-1222-1-1-1-1-1-122-1-12222-1-1222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-211111111000000000000
χ292222-12222-1-1-1222222-1-1-1-1-1-12-1-1-2-2-1-1-1-1-1-1222-1-1-1-1-1-12211-2-2-2-211-2-222-2-2-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-111111111-2-2-2-21111111111111111-2-2-2-21111111122-2-2-1-1-1-11111000000000000
χ302222-12222-1-1-1222222-1-1-1-1-1-12-1-1-2-2-1-1-1-1-1-1222-1-1-1-1-1-12211-2-2-2-211-2-222-2-2-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-111111111-2-2-2-21111111111111111-2-2-2-211111111-2-2221111-1-1-1-1000000000000
χ312222-122-2-2-1-1-12222221111-1-12-1-12-2-1-1-1-1-1-1222-1-1-1-1-1-1-2-2-1-1222211-2-2-2-2-2-211111111-2-2-2-211111111-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-111111111-2-2-2-211111111000033−3−333−3−3000000000000
χ322222-122-2-2-1-1-12222221111-1-12-1-12-2-1-1-1-1-1-1222-1-1-1-1-1-1-2-2-1-1222211-2-2-2-2-2-211111111-2-2-2-211111111-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-111111111-2-2-2-2111111110000−3−333−3−333000000000000
χ332222-122-2-2-1-1-12222221111-1-12-1-1-22-1-1-1-1-1-1222-1-1-1-1-1-1-2-211-2-2-2-2-1-122-2-22211111111-2-2-2-21111111111111111-2-2-2-211111111-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000033−3−3−3−333000000000000
χ342222-122-2-2-1-1-12222221111-1-12-1-1-22-1-1-1-1-1-1222-1-1-1-1-1-1-2-211-2-2-2-2-1-122-2-22211111111-2-2-2-21111111111111111-2-2-2-211111111-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000−3−33333−3−3000000000000
χ352-22-22222-22-2-22-2-2-22-222-2-222222002-2-22-2-22-2-222-2-2-2-22-200000000002-20022-2-222-2-222-2-22222-2-2-2-20000000000000000000000000000000000000000002i−2i00002i−2i2i−2i000000000000
χ362-22-22222-22-2-22-2-2-22-222-2-222222002-2-22-2-22-2-222-2-2-2-22-200000000002-20022-2-222-2-222-2-22222-2-2-2-2000000000000000000000000000000000000000000−2i2i0000−2i2i−2i2i000000000000
χ372-22-2222-222-2-22-2-2-22-2-2-22222222002-2-22-2-22-2-222-2-2-2-2-220000000000-2200-2-222-2-222-2-222-2-2-2-2222200000000000000000000000000000000000000002i−2i002i−2i2i−2i0000000000000000
χ382-22-2222-222-2-22-2-2-22-2-2-22222222002-2-22-2-22-2-222-2-2-2-2-220000000000-2200-2-222-2-222-2-222-2-2-2-222220000000000000000000000000000000000000000−2i2i00−2i2i−2i2i0000000000000000
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χ402-22-2-1222-2-1112-2-2-22-2-1-111-1-12-1-100-111-1112-2-2-1-111112-23−300003−3002-200-1-111-1-11122-2-2-1-1-1-1111133−3−333−3−300003333−3−3−3−333−3−333−3−300003333−3−3−3−300−2i2ii3−i3−i3i3i−ii−i000000000000
χ412-22-2-1222-2-1112-2-2-22-2-1-111-1-12-1-100-111-1112-2-2-1-111112-2−330000−33002-200-1-111-1-11122-2-2-1-1-1-11111−3−333−3−3330000−3−3−3−33333−3−333−3−3330000−3−3−3−33333002i−2ii3−i3−i3i3−ii−ii000000000000
χ422-22-2-1222-2-1112-2-2-22-2-1-111-1-12-1-100-111-1112-2-2-1-111112-2−330000−33002-200-1-111-1-11122-2-2-1-1-1-11111−3−333−3−3330000−3−3−3−33333−3−333−3−3330000−3−3−3−3333300−2i2i−i3i3i3−i3i−ii−i000000000000
χ432-22-2-122-22-1112-2-2-22-211-1-1-1-12-1-100-111-1112-2-2-1-11111-223−30000−3300-220011-1-111-1-1-2-2221111-1-1-1-133−3−333−3−300003333−3−3−3−3−3−333−3−3330000−3−3−3−333332i−2i00−ii−iii3−i3−i3i3000000000000
χ442-22-2-122-22-1112-2-2-22-211-1-1-1-12-1-100-111-1112-2-2-1-11111-223−30000−3300-220011-1-111-1-1-2-2221111-1-1-1-133−3−333−3−300003333−3−3−3−3−3−333−3−3330000−3−3−3−33333−2i2i00i−ii−i−i3i3i3−i3000000000000
χ452-22-2-122-22-1112-2-2-22-211-1-1-1-12-1-100-111-1112-2-2-1-11111-22−3300003−300-220011-1-111-1-1-2-2221111-1-1-1-1−3−333−3−3330000−3−3−3−3333333−3−333−3−300003333−3−3−3−32i−2i00−ii−ii−i3i3i3−i3000000000000
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χ5044444-2-2-4-4444-2-2-2-2-2-2-4-4-4-4-2-2111-44-2-2-2-2-2-211111111122-4-4222244-2-222-2-222222222-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111000000000000000000000000
χ514444-24-244-2-2-244-2-2-24-2-2-2-2-21-21144-2-2-2111-2-2-211111144-2-244-2-2-2-2-2-2-2-244-2-2-2-21111-2-2-2-211111111-2-2-2-21111-2-2-2-211111111-2-2-2-21111-2-2-2-211111111000000000000000000000000
χ524444-24-244-2-2-244-2-2-24-2-2-2-2-21-211-4-4-2-2-2111-2-2-21111114422-4-4222222-2-2-4-4-2-2-2-21111-2-2-2-2111111112222-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1000000000000000000000000
χ534444-24-2-4-4-2-2-244-2-2-242222-21-2114-4-2-2-2111-2-2-2111111-4-4-2-244-2-2222222-4-42222-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-2111111112222-1-1-1-12222-1-1-1-1-1-1-1-1000000000000000000000000
χ544444-24-2-4-4-2-2-244-2-2-242222-21-211-44-2-2-2111-2-2-2111111-4-422-4-422-2-2-2-222442222-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-211111111000000000000000000000000
χ554444-2-2444-2-2-2-2-2444-2-2-2-2-21-2-21144111-2-2-2-2-2-2111111-2-2-2-2-2-244-2-24444-2-21111-2-2-2-2-2-2-2-2111111111111-2-2-2-2-2-2-2-2111111111111-2-2-2-2-2-2-2-211111111000000000000000000000000
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χ1084-44-4-2-24-44-222-22-4-44222-2-21-2-211001-1-1-222-22211-1-1-1-12-223−230000−232300-4400-1-11122-2-222-2-2-1-1-1-11111−3−3332323−23−230000−3−3−3−3333333−3−3−23−23232300003333−3−3−3−3000000000000000000000000
χ1094-44-4-2-24-44-222-22-4-44222-2-21-2-211001-1-1-222-22211-1-1-1-12-2−2323000023−2300-4400-1-11122-2-222-2-2-1-1-1-1111133−3−3−23−23232300003333−3−3−3−3−3−3332323−23−230000−3−3−3−33333000000000000000000000000
χ1104-44-4-2-2-24-4-222-2222-22-2-222111−1−3i32−1+3i32001-1-11-1-11-1-1−1−3i32−1+3i321+3i321+3i321−3i321−3i32-2223−23000023−2300-220011-1-111-1-111-1-1−1−3i32−1−3i32−1+3i32−1+3i321+3i321+3i321−3i321−3i32−3−333−3−3333i−3i3i−3iζ7+2ζ11ζ7+2ζ11−2ζ7−ζ11−2ζ7−ζ11−ζ7−2ζ11−ζ7−2ζ112ζ7+ζ112ζ7+ζ11−3−333−3−3333i−3i3i−3iζ7+2ζ11ζ7+2ζ11−2ζ7−ζ11−2ζ7−ζ11−ζ7−2ζ11−ζ7−2ζ112ζ7+ζ112ζ7+ζ11000000000000000000000000
χ1114-44-4-2-2-24-4-222-2222-22-2-222111−1−3i32−1+3i32001-1-11-1-11-1-1−1−3i32−1+3i321+3i321+3i321−3i321−3i32-22−23230000−232300-220011-1-111-1-111-1-1−1−3i32−1−3i32−1+3i32−1+3i321+3i321+3i321−3i321−3i3233−3−333−3−3−3i3i−3i3i−ζ7−2ζ11−ζ7−2ζ112ζ7+ζ112ζ7+ζ11ζ7+2ζ11ζ7+2ζ11−2ζ7−ζ11−2ζ7−ζ1133−3−333−3−3−3i3i−3i3i−ζ7−2ζ11−ζ7−2ζ112ζ7+ζ112ζ7+ζ11ζ7+2ζ11ζ7+2ζ11−2ζ7−ζ11−2ζ7−ζ11000000000000000000000000
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χ1134-44-4-2-2-24-4-222-2222-22-2-222111−1+3i32−1−3i32001-1-11-1-11-1-1−1+3i32−1−3i321−3i321−3i321+3i321+3i32-22−23230000−232300-220011-1-111-1-111-1-1−1+3i32−1+3i32−1−3i32−1−3i321−3i321−3i321+3i321+3i3233−3−333−3−33i−3i3i−3i2ζ7+ζ112ζ7+ζ11−ζ7−2ζ11−ζ7−2ζ11−2ζ7−ζ11−2ζ7−ζ11ζ7+2ζ11ζ7+2ζ1133−3−333−3−33i−3i3i−3i2ζ7+ζ112ζ7+ζ11−ζ7−2ζ11−ζ7−2ζ11−2ζ7−ζ11−2ζ7−ζ11ζ7+2ζ11ζ7+2ζ11000000000000000000000000
χ1144-44-4-2-2-2-44-222-2222-2222-2-2111−1−3i32−1+3i32001-1-11-1-11-1-1−1−3i32−1+3i321+3i321+3i321−3i321−3i322-223−230000−2323002-200-1-111-1-111-1-1111+3i321+3i321−3i321−3i32−1−3i32−1−3i32−1+3i32−1+3i32−3−333−3−3333i−3i3i−3iζ7+2ζ11ζ7+2ζ11−2ζ7−ζ11−2ζ7−ζ11−ζ7−2ζ11−ζ7−2ζ112ζ7+ζ112ζ7+ζ1133−3−333−3−3−3i3i−3i3i−ζ7−2ζ11−ζ7−2ζ112ζ7+ζ112ζ7+ζ11ζ7+2ζ11ζ7+2ζ11−2ζ7−ζ11−2ζ7−ζ11000000000000000000000000
χ1154-44-4-2-2-2-44-222-2222-2222-2-2111−1−3i32−1+3i32001-1-11-1-11-1-1−1−3i32−1+3i321+3i321+3i321−3i321−3i322-2−2323000023−23002-200-1-111-1-111-1-1111+3i321+3i321−3i321−3i32−1−3i32−1−3i32−1+3i32−1+3i3233−3−333−3−3−3i3i−3i3i−ζ7−2ζ11−ζ7−2ζ112ζ7+ζ112ζ7+ζ11ζ7+2ζ11ζ7+2ζ11−2ζ7−ζ11−2ζ7−ζ11−3−333−3−3333i−3i3i−3iζ7+2ζ11ζ7+2ζ11−2ζ7−ζ11−2ζ7−ζ11−ζ7−2ζ11−ζ7−2ζ112ζ7+ζ112ζ7+ζ11000000000000000000000000
χ1164-44-4-2-2-2-44-222-2222-2222-2-2111−1+3i32−1−3i32001-1-11-1-11-1-1−1+3i32−1−3i321−3i321−3i321+3i321+3i322-223−230000−2323002-200-1-111-1-111-1-1111−3i321−3i321+3i321+3i32−1+3i32−1+3i32−1−3i32−1−3i32−3−333−3−333−3i3i−3i3i−2ζ7−ζ11−2ζ7−ζ11ζ7+2ζ11ζ7+2ζ112ζ7+ζ112ζ7+ζ11−ζ7−2ζ11−ζ7−2ζ1133−3−333−3−33i−3i3i−3i2ζ7+ζ112ζ7+ζ11−ζ7−2ζ11−ζ7−2ζ11−2ζ7−ζ11−2ζ7−ζ11ζ7+2ζ11ζ7+2ζ11000000000000000000000000
χ1174-44-4-2-2-2-44-222-2222-2222-2-2111−1+3i32−1−3i32001-1-11-1-11-1-1−1+3i32−1−3i321−3i321−3i321+3i321+3i322-2−2323000023−23002-200-1-111-1-111-1-1111−3i321−3i321+3i321+3i32−1+3i32−1+3i32−1−3i32−1−3i3233−3−333−3−33i−3i3i−3i2ζ7+ζ112ζ7+ζ11−ζ7−2ζ11−ζ7−2ζ11−2ζ7−ζ11−2ζ7−ζ11ζ7+2ζ11ζ7+2ζ11−3−333−3−333−3i3i−3i3i−2ζ7−ζ11−2ζ7−ζ11ζ7+2ζ11ζ7+2ζ112ζ7+ζ112ζ7+ζ11−ζ7−2ζ11−ζ7−2ζ11000000000000000000000000
χ1184-4-4444400-4-44-4-4-44-4400004444400-4-44-4-44-4-44-4-4-44-440000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1194-4-4444-200-4-44-4-42-22400004-2-2-2-200-4-4422-222-2222-22-200000023−230000000000000000000000000000000023−23−232323−23−232323−23−2323−232323−2300000000000000000000000000000000000000000000
χ1204-4-4444-200-4-44-4-42-22400004-2-2-2-200-4-4422-222-2222-22-2000000−232300000000000000000000000000000000−232323−23−232323−23−232323−2323−23−232300000000000000000000000000000000000000000000
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χ1224-4-444-2400-4-4422-44-4-20000-24-2-2-20022-2-4-4422-2222-22-2000000000000002i3−2i300000000000000000000000000000000000000002i3−2i3−2i32i300002i3−2i3−2i32i32i3−2i3−2i32i3−2i32i32i3−2i3000000000000000000000000
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χ1244-4-444-2-200-4-44222-22-20000-2-21110022-222-2-1-11-1-1-11-1100000023−230000002i3−2i3000000003i−3i−3i3i3i−3i3i−3i−3i3i−3i3i000023−23−2323−333−3−333−33−3−332i3−2i3−2i32i30000−i3i3i3−i3−i3i3i3−i3i3−i3−i3i3000000000000000000000000
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χ1264-4-444-2-200-4-44222-22-20000-2-21110022-222-2-1-11-1-1-11-11000000−23230000002i3−2i300000000−3i3i3i−3i−3i3i−3i3i3i−3i3i−3i0000−232323−233−3−333−3−33−333−32i3−2i3−2i32i30000−i3i3i3−i3−i3i3i3−i3i3−i3−i3i3000000000000000000000000
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χ1284-4-44-2440022-2-4-4-44-44−232323−23-2-24-2-20022-222-2-4-44222-22-20000000000000000−232323−23−232323−230000−232323−2323−23−23230000000000000000000000000000000000000000000000000000000000000000
χ1294-4-44-24-20022-2-4-42-22423−23−2323-21-2110022-2-1-1122-2-1-1-11-1100000023−230000000023−23−2323−333−30000−333−33−3−330000−333−323−23−2323−333−33−3−330000-333-30000-33-333-33-3000000000000000000000000
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χ1374-4-44-2-2-20022-2222-22-223−23−2323111−1−3i32−1+3i3200-1-11-1-11-1-111+3i321−3i321+3i32−1−3i321−3i32−1+3i3200000023−230000002i3−2i3−333−3−333−33i−3i−3i3iζ7+2ζ11−ζ7−2ζ112ζ7+ζ11−2ζ7−ζ11−ζ7−2ζ11ζ7+2ζ11−2ζ7−ζ112ζ7+ζ113i−3i−3i3i−333−3−333−3ζ7+2ζ11−ζ7−2ζ112ζ7+ζ11−2ζ7−ζ11−ζ7−2ζ11ζ7+2ζ11−2ζ7−ζ112ζ7+ζ11−i3i3i3−i3-333-3−i3i3i3−i33+i32−3−i323−i32−3+i32−3−i323+i32−3+i323−i32000000000000000000000000
χ1384-4-44-2-2-20022-2222-22-223−23−2323111−1−3i32−1+3i3200-1-11-1-11-1-111+3i321−3i321+3i32−1−3i321−3i32−1+3i32000000−2323000000−2i32i3−333−3−333−33i−3i−3i3iζ7+2ζ11−ζ7−2ζ112ζ7+ζ11−2ζ7−ζ11−ζ7−2ζ11ζ7+2ζ11−2ζ7−ζ112ζ7+ζ11−3i3i3i−3i3−3−333−3−33−ζ7−2ζ11ζ7+2ζ11−2ζ7−ζ112ζ7+ζ11ζ7+2ζ11−ζ7−2ζ112ζ7+ζ11−2ζ7−ζ11i3−i3−i3i33-3-33i3−i3−i3i3−3−i323+i32−3+i323−i323+i32−3−i323−i32−3+i32000000000000000000000000
χ1394-4-44-2-2-20022-2222-22-223−23−2323111−1+3i32−1−3i3200-1-11-1-11-1-111−3i321+3i321−3i32−1+3i321+3i32−1−3i3200000023−23000000−2i32i3−333−3−333−3−3i3i3i−3i−2ζ7−ζ112ζ7+ζ11−ζ7−2ζ11ζ7+2ζ112ζ7+ζ11−2ζ7−ζ11ζ7+2ζ11−ζ7−2ζ11−3i3i3i−3i−333−3−333−3−2ζ7−ζ112ζ7+ζ11−ζ7−2ζ11ζ7+2ζ112ζ7+ζ11−2ζ7−ζ11ζ7+2ζ11−ζ7−2ζ11i3−i3−i3i3-333-3i3−i3−i3i33−i32−3+i323+i32−3−i32−3+i323−i32−3−i323+i32000000000000000000000000
χ1404-4-44-2-2-20022-2222-22-223−23−2323111−1+3i32−1−3i3200-1-11-1-11-1-111−3i321+3i321−3i32−1+3i321+3i32−1−3i32000000−23230000002i3−2i3−333−3−333−3−3i3i3i−3i−2ζ7−ζ112ζ7+ζ11−ζ7−2ζ11ζ7+2ζ112ζ7+ζ11−2ζ7−ζ11ζ7+2ζ11−ζ7−2ζ113i−3i−3i3i3−3−333−3−332ζ7+ζ11−2ζ7−ζ11ζ7+2ζ11−ζ7−2ζ11−2ζ7−ζ112ζ7+ζ11−ζ7−2ζ11ζ7+2ζ11−i3i3i3−i33-3-33−i3i3i3−i3−3+i323−i32−3−i323+i323−i32−3+i323+i32−3−i32000000000000000000000000
χ1414-4-44-2-2-20022-2222-22-2−232323−23111−1−3i32−1+3i3200-1-11-1-11-1-111+3i321−3i321+3i32−1−3i321−3i32−1+3i3200000023−23000000−2i32i33−3−333−3−33−3i3i3i−3i−ζ7−2ζ11ζ7+2ζ11−2ζ7−ζ112ζ7+ζ11ζ7+2ζ11−ζ7−2ζ112ζ7+ζ11−2ζ7−ζ113i−3i−3i3i−333−3−333−3ζ7+2ζ11−ζ7−2ζ112ζ7+ζ11−2ζ7−ζ11−ζ7−2ζ11ζ7+2ζ11−2ζ7−ζ112ζ7+ζ11i3−i3−i3i33-3-33i3−i3−i3i3−3−i323+i32−3+i323−i323+i32−3−i323−i32−3+i32000000000000000000000000
χ1424-4-44-2-2-20022-2222-22-2−232323−23111−1−3i32−1+3i3200-1-11-1-11-1-111+3i321−3i321+3i32−1−3i321−3i32−1+3i32000000−23230000002i3−2i33−3−333−3−33−3i3i3i−3i−ζ7−2ζ11ζ7+2ζ11−2ζ7−ζ112ζ7+ζ11ζ7+2ζ11−ζ7−2ζ112ζ7+ζ11−2ζ7−ζ11−3i3i3i−3i3−3−333−3−33−ζ7−2ζ11ζ7+2ζ11−2ζ7−ζ112ζ7+ζ11ζ7+2ζ11−ζ7−2ζ112ζ7+ζ11−2ζ7−ζ11−i3i3i3−i3-333-3−i3i3i3−i33+i32−3−i323−i32−3+i32−3−i323+i32−3+i323−i32000000000000000000000000
χ1434-4-44-2-2-20022-2222-22-2−232323−23111−1+3i32−1−3i3200-1-11-1-11-1-111−3i321+3i321−3i32−1+3i321+3i32−1−3i3200000023−230000002i3−2i33−3−333−3−333i−3i−3i3i2ζ7+ζ11−2ζ7−ζ11ζ7+2ζ11−ζ7−2ζ11−2ζ7−ζ112ζ7+ζ11−ζ7−2ζ11ζ7+2ζ11−3i3i3i−3i−333−3−333−3−2ζ7−ζ112ζ7+ζ11−ζ7−2ζ11ζ7+2ζ112ζ7+ζ11−2ζ7−ζ11ζ7+2ζ11−ζ7−2ζ11−i3i3i3−i33-3-33−i3i3i3−i3−3+i323−i32−3−i323+i323−i32−3+i323+i32−3−i32000000000000000000000000
χ1444-4-44-2-2-20022-2222-22-2−232323−23111−1+3i32−1−3i3200-1-11-1-11-1-111−3i321+3i321−3i32−1+3i321+3i32−1−3i32000000−2323000000−2i32i33−3−333−3−333i−3i−3i3i2ζ7+ζ11−2ζ7−ζ11ζ7+2ζ11−ζ7−2ζ11−2ζ7−ζ112ζ7+ζ11−ζ7−2ζ11ζ7+2ζ113i−3i−3i3i3−3−333−3−332ζ7+ζ11−2ζ7−ζ11ζ7+2ζ11−ζ7−2ζ11−2ζ7−ζ112ζ7+ζ11−ζ7−2ζ11ζ7+2ζ11i3−i3−i3i3-333-3i3−i3−i3i33−i32−3+i323+i32−3−i32−3+i323−i32−3−i323+i32000000000000000000000000

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