Finite Group Databasebeta

← Group #14303587

Character table — Group #14303587

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111222222444444444444555588888810101010101010101010101010101010101012121616161616161616202020202020202020202020202020202020202020202020202024242424244848606060606060120120120
order1222344666445101010121212121212222215202030303044444466661212121212121212882020606060606060444444441212121212121212121212121212121212124404040402020888888444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-11-1-1
χ4111111111111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111
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χ61111111111111111111111-1-1-1-1111111-1ii−i−i-1-1-1-1-1iiii−i−i−i−i-1-111111111-1-1ii−i−ii−i-1-1-1-1-1-1ii−i−iiiii−i−i−i−i-1-1-1-1-1-1-111−i−iii1−ii
χ71111111111111111111111-1-1-1-1111111-1−i−iii-1-1-1-1-1−i−i−i−iiiii1111111111-1-1−i−iii−ii-1-1-1-1-1-1−i−iii−i−i−i−iiiii1111111-1-1−i−iii-1−ii
χ81111111111111111111111-1-1-1-1111111-1−i−iii-1-1-1-1-1−i−i−i−iiiii-1-111111111-1-1−i−iii−ii-1-1-1-1-1-1−i−iii−i−i−i−iiiii-1-1-1-1-1-1-111ii−i−i1i−i
χ91111111111-1-1111111-1-1-1-1111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1
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χ111111111111-1-1111111-1-1-1-111111111111-1-1-1-111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-111111111-11111-1-111-1-1-1-1-111
χ121111111111-1-1111111-1-1-1-111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1111111111-1-1-1-111-1-111111-1-1
χ131111111111-1-1111111-1-1-1-1-1-1-1-1111111-1ii−i−i-1-1-1-1-1iiii−i−i−i−i11-1-111-1-1-1-111−i−iiii−i-1-11111ii−i−i−i−i−i−iiiii-11111-1-1-1-1ii−i−i1−ii
χ141111111111-1-1111111-1-1-1-1-1-1-1-1111111-1ii−i−i-1-1-1-1-1iiii−i−i−i−i-1-1-1-111-1-1-1-111−i−iiii−i-1-11111ii−i−i−i−i−i−iiiii1-1-1-1-11111−i−iii-1i−i
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χ222222-122-1-1-1222222-1-1-1-1-1-12222-122-1-1-12-2-2-2-22-1-1-1-1111111110022-1-1-1-1-1-122-2-2-2-2-2-2-1-1-1-1-1-11111111111110000000000000000
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χ262222-122-1-1-1-2-22222-1-111112222-122-1-1-12-2-2-2-22-1-1-1-11111111100-2-2-1-11111-2-22222-2-2-1-111111111-1-1-1-1-1-1-1-10000000000000000
χ272222-122-1-1-1-2-22222-1-11111-2-2-2-2-122-1-1-1-22i2i−2i−2i-21111−i−i−i−iiiii00-2-2-1-1111122−2i−2i2i2i2i−2i11-1-1-1-1−i−iiiiiii−i−i−i−i0000000000000000
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χ292222-1-2-2-1-1-100222211−i3−i3i3i32222-1-2-2-1-1-1-22222-2-1-1-1-1-1-1-1-1-1-1-1-1000011−i3−i3i3i3000000-2-211−i3−i3i3i31111−i3−i3i3i3−i3−i3i3i30000000000000000
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χ3922-2-22002-2-20022-2-200000022-2-22002-2-20-22-22022-2-2-2-222-2-2222−20000000000000000000000000000000000022−2−2002−2−22−22000
χ4022-2-22002-2-20022-2-200000022-2-22002-2-20-22-22022-2-2-2-222-2-222−2200000000000000000000000000000000000−2−22200−222−22−2000
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χ908888-4-8-8-4-4-400-2-2-2-244−4i3−4i34i34i300001221110000000000000000000000-1-1i3i3−i3−i3000000000000000000000000000000000000000000
χ918888-4-8-8-4-4-400-2-2-2-2444i34i3−4i3−4i300001221110000000000000000000000-1-1−i3−i3i3i3000000000000000000000000000000000000000000
χ9288-8-88008-8-800-2-2220000000000-200-22200000000000000000042−4200000000000000000000000000000000000−2−22200000000000
χ9388-8-88008-8-800-2-2220000000000-200-222000000000000000000−42420000000000000000000000000000000000022−2−200000000000
χ948-88-888-8-88-800-22-228-800000000-2-222-220000000000000000000000-220000000000000000000000000000000000000000000000
χ958-88-8-48-84-4400-22-22-4443−43−434300001-22-11-100000000000000000000001-1−333−3000000000000000000000000000000000000000000
χ968-88-8-48-84-4400-22-22-44−434343−4300001-22-11-100000000000000000000001-13−3−33000000000000000000000000000000000000000000
χ978-88-8-4-884-448i−8i-22-224-4−4i4i−4i4i000012-2-11-100000000000000000000−2i2i-11i−ii−i000000000000000000000000000000000000000000
χ988-88-8-4-884-44−8i8i-22-224-44i−4i4i−4i000012-2-11-1000000000000000000002i−2i-11−ii−ii000000000000000000000000000000000000000000
χ998-8-88800-8-8800-222-20000000000-20022-2000000000000000000000000000000000000000000000000000000010−10−101000000000000
χ1008-8-88800-8-8800-222-20000000000-20022-20000000000000000000000000000000000000000000000000000000−101010−1000000000000
χ1011616-16-16-800-88800-4-44400000000002002-2-20000000000000000000000000000000000000000000000000000000000000000000000
χ10216-16-1616-80088-800-444-40000000000200-2-220000000000000000000000000000000000000000000000000000000000000000000000

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