Finite Group Databasebeta

← Group #13170587

Character table — Group #13170587

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
size112222222222222444444444444444444444446666668888888888881212121212121212121212121212121212121212121212181818182424242424242424242424242424363636363636363672727272108108
order12233344666121212123336666666612121212121212121212121288242424243666661212121212122488824242424242424242424242424242424242422446666121212122424242424242444661212612121222
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-11111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111-1-11-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111
χ511111111111111111111111111111111111111-1-1-1-1-1-111111111111111-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-111-1-1-1-1-1-111-1-1
χ611111111111111111111111111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ711111111111111111111111111111111111111-1-1-1-1-1-1111111111111-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111
χ811111111111111111111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ911-1111-11111-1-111111-1-1-1-1-1111-1-1-1-1-1-11111111111111-1-1-1-11-1111-1-11-1-11-1-1-111-1-1111111-1-1-1-1-1-11-11-11111-1-1-1-1111-1-1-1-111-11-11-1-111-11-1
χ1011-1111-11111-1-111111-1-1-1-1-1111-1-1-1-1-1-11111111111111-1-1-1-11-1111-1-11-1-1-11-1-1-1-111111111-1-1-1-1-1-1-11-111111-1-1-1-1-1-1-1111-11-11-11-11-11-11-11
χ1111-1111-11111-1-111111-1-1-1-1-1111-1-1-1-1-1-11111111111111-1-1-1-11-1111-1-1-11-11-1-1-111-1-1111111-1-1-1-1-1-11-11-1-1-1-1-11111111-1-1-11-1-111-11-11-1-11-11
χ1211-1111-11111-1-111111-1-1-1-1-1111-1-1-1-1-1-11111111111111-1-1-1-11-1111-1-1-11-1-11-1-1-1-111111111-1-1-1-1-1-1-11-11-1-1-1-11111-1-1-11111-11-1-11-111-11-11-1
χ1311-1111-11111-1-111111-1-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-11-1-1-1-11-1111-1-11-111-11111-1-1-1-1-1-1-1-1111111-11-111111-1-1-1-1111-1-1-11-11-1-11-111-11-1-11
χ1411-1111-11111-1-111111-1-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-11-1-1-1-11-1111-1-11-11-1111-1-111-1-1-1-1-1-11111111-11-11111-1-1-1-1-1-1-11111-1-111-11-11-1-111-1
χ1511-1111-11111-1-111111-1-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-11-1-1-1-11-1111-1-1-1111-11111-1-1-1-1-1-1-1-1111111-11-11-1-1-1-11111111-1-1-1-11-11-11-11-11-111-1
χ1611-1111-11111-1-111111-1-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-11-1-1-1-11-1111-1-1-111-1111-1-111-1-1-1-1-1-11111111-11-1-1-1-1-11111-1-1-1111-111-11-11-1-111-1-11
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χ262222-1222-12222-1-1-1-122-12-1-1-1-12-12-1-12222-1-1-1-1-2-21111-1-12-1-1-1-12-1-1-1-100-2-2-2111111-2-21111-2-21111222200000000-211-2110000-1-1-1-1000000
χ272222-12-2-2-122-2-211-1-122-12-1-1-1-121-211-2-2-2-211110033−3−3-1-12-1-1-11-21111000003−33−33−30033−3−30033−3−32-2-220000000003−303−30000-111-1000000
χ282222-12-2-2-122-2-211-1-122-12-1-1-1-121-211-2-2-2-211110033−3−3-1-12-1-1-11-21111000003−3−33−330033−3−30033−3−3-222-2000000000−330−3300001-1-11000000
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χ3822-222-1-222-1211222-1-1-2-21112-1-1-2-21111-1222-1-1222222-1-2111-1-2-1-1-111-22-200-2-20000-1-1-1-1-1-11111110000-2111-12-1-10000002-2000000-110000
χ3922-222-1-222-1211222-1-1-2-21112-1-1-2-21111-1222-1-1-2-2-2-2-2-2-1-2111-1-2-1-1-1112-2200220000111111-1-1-1-1-1-100002-1-1-11-2110000002-2000000-110000
χ4022-222-1-222-1211222-1-1-2-21112-1-1-2-21111-1222-1-1-2-2-2-2-2-2-1-2111-1-2-1-1-111-22200220000111111-1-1-1-1-1-10000-2111-12-1-1000000-220000001-10000
χ4122-22-122-2-1222211-1-12-21-211-1-12-12-1-122-2-211110033−3−3-11-211-1-1-211-1-100000−333−3−330033−3−300−3−33322-2-20000000003−30−330000-1-111000000
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χ4522-22-12-22-122-2-2-1-1-1-12-21-211-1-121-211-2-222-1-1-1-122-1-1-1-1-11-211-112-1-11100-22-211-1-11122-1-1-1-1-2-211112-22-2000000002-1-1-2110000-11-11000000
χ4622-22-12-22-122-2-2-1-1-1-12-21-211-1-121-211-2-222-1-1-1-122-1-1-1-1-11-211-112-1-11100-2-221111-1-122-1-1-1-1-2-21111-22-2200000000-2112-1-100001-11-1000000
χ4722-22-12-22-122-2-2-1-1-1-12-21-211-1-121-211-2-222-1-1-1-1-2-21111-11-211-112-1-1110022-2-1-1-1-111-2-2111122-1-1-1-1-22-22000000002-1-1-21100001-11-1000000
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χ1038-80-48800-8-840000-48-4000004-84000000000000000000-4000040000000000000000000000000000000000000000000000000000000000000
χ1048-80-48-400-84443−4300-4-420000044-20043−43−232300000000000020000-20000−23230000000000000000000000000000000000000000000000000000000
χ1058-80-48-400-844−434300-4-420000044-200−434323−2300000000000020000-2000023−230000000000000000000000000000000000000000000000000000000
χ1068-80-4-48004-840043−432-4-400000-24400000000−232343−4300000020000-200−2323000000000000000000000000000000000000000000000000000000000
χ1078-80-4-48004-8400−43432-4-400000-2440000000023−23−434300000020000-20023−23000000000000000000000000000000000000000000000000000000000
χ1088-80-4-4-40044443−4343−432220006-6-2-2-200−2323−232300−2323−2323000000-100-331003−33−30000000000000000000000000000000000000000000000000000000
χ1098-80-4-4-40044443−43−4343222000-66-2-2-200−2323−23230023−2323−23000000-1003-3100−333−30000000000000000000000000000000000000000000000000000000
χ1108-80-4-4-400444−434343−43222000-66-2-2-20023−2323−2300−2323−2323000000-1003-31003−3−330000000000000000000000000000000000000000000000000000000
χ1118-80-4-4-400444−4343−43432220006-6-2-2-20023−2323−230023−2323−23000000-100-33100−33−330000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.