Finite Group Databasebeta

← Group #13169369

Character table — Group #13169369

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size111122222222222222222233334444444444444444444444446666666666666666666666666688888888881212121212121212121212121212121212121212121212121212121218181818181818181818181824242424242436363636363636367272108108
order122233344666666666121212124444333666666666121212121212121212121212224444666612121212121212121212121212121212366612121212121244666666121212121212121212121212121212121212121244441212121212121212121212121212444412121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111111111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111
χ51111111111111111111111-1-1-1-1111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1
χ61111111111111111111111-1-1-1-1111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111
χ71111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-111
χ81111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111111111-1-1
χ91111111-1-1111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1111111-1-1-1-11-111-1-11-11-111-1-11-11-1
χ101111111-1-1111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1111111-1-1-1-1-11-1-111-11-11-1-111-11-11
χ111111111-1-1111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-11-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111111-111-1-1-111-111-1-1-11-11
χ121111111-1-1111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-11-1-1-1-1-1-111-1-111-1-1-1-1-1-11111111111-1-1-1-1-1-11111-11-1-1111-1-11-1-1111-11-1
χ131111111-1-1111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11-1111111-1-111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111-111-1-11-1-11-1-1111-1-11
χ141111111-1-1111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-11111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-11-1-111-111-111-1-1-111-1
χ151111111-1-1111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-11-111-1-1-11-11-1-111-111-1
χ161111111-1-1111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-11-1-1111-11-111-1-11-1-11
χ17222222-122222-12-1-122-1-1-1-122222-1-12-1-12-1-1-1-122222-1-1-1-1-1-1-1-1222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-10022-1-1-1-122000022-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000000000000000
χ18222222-122222-12-1-122-1-1-1-122222-1-12-1-12-1-1-1-122222-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-12222-1-1-1-111111111-1-1-1-122-1-1-1-10022-1-1-1-1-2-20000-2-211111111-1-1-1-1-2-2-2-211111111000000000000000000
χ19222222-122222-12-1-122-1-1-1-1-2-2-2-22-1-12-1-12-1-1-1-122222-1-1-1-1-1-1-1-1-2-222221111-2-2-2-21111-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-100-2-2111122000022-1-1-1-1-1-1-1-11111-2-2-2-211111111000000000000000000
χ20222222-122222-12-1-122-1-1-1-1-2-2-2-22-1-12-1-12-1-1-1-122222-1-1-1-1-1-1-1-1-2-2-2-2-2-21111-2-2-2-2111111111111-1-1-1-122-1-1-1-100-2-21111-2-20000-2-21111111111112222-1-1-1-1-1-1-1-1000000000000000000
χ21222222-1-2-2222-12-1-122111122222-1-12-1-12-1-1-1-12-2-2-2-211111111-2-222-2-211112222-1-1-1-1-1-1-1-11111-1-1-1-1-2-2111100-2-21111-2-2000022-1-1-1-11111-1-1-1-1-2-222-1-1-1-11111000000000000000000
χ22222222-1-2-2222-12-1-122111122222-1-12-1-12-1-1-1-12-2-2-2-211111111-2-2-2-22211112222-1-1-1-11111-1-1-1-1-1-1-1-1-2-2111100-2-21111220000-2-21111-1-1-1-1-1-1-1-122-2-21111-1-1-1-1000000000000000000
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χ24222222-1-2-2222-12-1-1221111-2-2-2-22-1-12-1-12-1-1-1-12-2-2-2-21111111122-2-222-1-1-1-1-2-2-2-211111111-1-1-1-1-1-1-1-1-2-211110022-1-1-1-1220000-2-21111-1-1-1-11111-2-222-1-1-1-11111000000000000000000
χ2522222-122222-12-122-1222222222-12-1-1-1-1-1222-1-122-1-12222-1-1-1-12200002222-1-1-1-1222200000000-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-100-1-1-1-10000000000-1-1-1-100000000000022-1-1-1-10022-1-1-1-10000
χ2622222-122222-12-122-1222222222-12-1-1-1-1-1222-1-122-1-12222-1-1-1-12200002222-1-1-1-1222200000000-1-1-1-1-1-1-1-1-1-1-2-2-1-1-1-1-1-10011110000000000-1-1-1-1000000000000-2-2111100-2-211110000
χ2722222-122222-12-122-122222-2-2-2-2-12-1-1-1-1-1222-1-122-1-12222-1-1-1-1-2-20000-2-2-2-21111-2-2-2-200000000-1-1-1-1-1-1-1-1-1-12211111100-1-1-1-10000000000111100000000000022-1-1-1-100-2-211110000
χ2822222-122222-12-122-122222-2-2-2-2-12-1-1-1-1-1222-1-122-1-12222-1-1-1-1-2-20000-2-2-2-21111-2-2-2-200000000-1-1-1-1-1-1-1-1-1-1-2-211111100111100000000001111000000000000-2-211110022-1-1-1-10000
χ2922222-12-2-222-12-122-12-2-2-2-22222-12-1-1-1-1-1222-1-1-2-211-2-2-2-21111-2-20000-2-2-2-2-1-1-1-1222200000000-1-1-1-11111112-211111100-1-1110000000000-1-1-1-10000000000002-2-1-111002-2-1-1110000
χ3022222-12-2-222-12-122-12-2-2-2-22222-12-1-1-1-1-1222-1-1-2-211-2-2-2-21111-2-20000-2-2-2-2-1-1-1-1222200000000-1-1-1-1111111-221111110011-1-10000000000-1-1-1-1000000000000-2211-1-100-2211-1-10000
χ3122222-12-2-222-12-122-12-2-2-2-2-2-2-2-2-12-1-1-1-1-1222-1-1-2-211-2-2-2-2111122000022221111-2-2-2-200000000-1-1-1-11111112-2-1-1-1-1-1-100-1-111000000000011110000000000002-2-1-11100-2211-1-10000
χ3222222-12-2-222-12-122-12-2-2-2-2-2-2-2-2-12-1-1-1-1-1222-1-1-2-211-2-2-2-2111122000022221111-2-2-2-200000000-1-1-1-1111111-22-1-1-1-1-1-10011-1-100000000001111000000000000-2211-1-1002-2-1-1110000
χ332222-12222-1-1222222-122220000-1-12-122-1-1-1-12-1-1-122-1-1-1-1222200222200000000000022222222-1-1-1-1-1-1-1-1-1-122000000-1-12222-1-1-1-1-1-1-1-1-1-10000000000000000-1-1-1-1-1-122000000-1-100
χ342222-12222-1-1222222-122220000-1-12-122-1-1-1-12-1-1-122-1-1-1-1222200222200000000000022222222-1-1-1-1-1-1-1-1-1-1-2-2000000-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-10000000000000000111111-2-20000001100
χ352222-12222-1-1222222-122220000-1-12-122-1-1-1-12-1-1-122-1-1-1-1222200-2-2-2-2000000000000-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-12200000011222211111111110000000000000000-1-1-1-1-1-1-2-20000001100
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χ392222-122-2-2-1-1222222-1-2-2-2-20000-1-12-122-1-1-1-12-111-2-21111-2-2-2-200-2-222000000000000-2-2-2-22222-1-1-1-11111112-2000000-1-122-2-2111111-1-1-1-10000000000000000-11-1-111-220000001-100
χ402222-122-2-2-1-1222222-1-2-2-2-20000-1-12-122-1-1-1-12-111-2-21111-2-2-2-200-2-222000000000000-2-2-2-22222-1-1-1-1111111-22000000-1-1-2-222111111-1-1-1-100000000000000001-111-1-12-2000000-1100
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χ4422-2-2222-222-222-2-2-2-2-2-2-222-2-222222-2-2-222-2-22-2-22-22-2-222-2-2222-2000022-2-2-2-222-2-222000000002-2-22-22-2-222002-222-2-20000000000000000-2-222000000000000000000000000000000
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χ4622-2-222-12-22-22-1-211-2-2-1-11122-2-22-1-1-2112-111-1-22-22-2-1-111-1-1112-20000-1-11122-2-2-1-111−3−333−3−333-111-12-2-1-111002-2-1-11100000000−3−333−3−333-1-1110000−3−333−3−333000000000000000000
χ4722-2-222-12-22-22-1-211-2-2-1-111-2-2222-1-1-2112-111-1-22-22-2-1-111-1-111-22000011-1-1-2-22211-1-133−3−333−3−3-111-12-2-1-11100-2211-1-10000000033−3−333−3−311-1-10000−3−333−3−333000000000000000000
χ4822-2-222-12-22-22-1-211-2-2-1-111-2-2222-1-1-2112-111-1-22-22-2-1-111-1-111-22000011-1-1-2-22211-1-1−3−333−3−333-111-12-2-1-11100-2211-1-100000000−3−333−3−33311-1-1000033−3−333−3−3000000000000000000
χ4922-2-222-1-222-22-1-211-2-211-1-122-2-22-1-1-2112-111-1-2-22-2211-1-111-1-1-22000011-1-122-2-2-1-11133−3−3−3−333-111-1-2211-1-100-2211-1-10000000033−3−3−3−333-1-111000033−3−3−3−333000000000000000000
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χ5322-2-22-122-22-2-121-2-21-222-2-222-2-2-12-1111-12-2-2-112-2-1122-2-2-1-1112-2000022-2-2-1-11122-2-200000000-111-1-11-1-11100-11-1-111003−33−30000000000-1-111000000000000003−33−300003−33−30000
χ5422-2-22-122-22-2-121-2-21-222-2-222-2-2-12-1111-12-2-2-112-2-1122-2-2-1-1112-2000022-2-2-1-11122-2-200000000-111-1-11-1-11100-11-1-11100−33−330000000000-1-11100000000000000−33−330000−33−330000
χ5522-2-22-122-22-2-121-2-21-222-2-2-2-222-12-1111-12-2-2-112-2-1122-2-2-1-111-220000-2-22211-1-1-2-22200000000-111-1-11-1-111001-111-1-1003−33−3000000000011-1-1000000000000003−33−30000−33−330000
χ5622-2-22-122-22-2-121-2-21-222-2-2-2-222-12-1111-12-2-2-112-2-1122-2-2-1-111-220000-2-22211-1-1-2-22200000000-111-1-11-1-111001-111-1-100−33−33000000000011-1-100000000000000−33−3300003−33−30000
χ5722-2-22-12-222-2-121-2-21-2-2-22222-2-2-12-1111-12-2-2-11-221-1-2-22211-1-1-220000-2-222-1-11122-2-200000000-111-11-111-1-1001-111-1-1003−3−330000000000-1-111000000000000003−3−3300003−3−330000
χ5822-2-22-12-222-2-121-2-21-2-2-22222-2-2-12-1111-12-2-2-11-221-1-2-22211-1-1-220000-2-222-1-11122-2-200000000-111-11-111-1-1001-111-1-100−333−30000000000-1-11100000000000000−333−30000−333−30000
χ5922-2-22-12-222-2-121-2-21-2-2-222-2-222-12-1111-12-2-2-11-221-1-2-22211-1-12-2000022-2-211-1-1-2-22200000000-111-11-111-1-100-11-1-111003−3−33000000000011-1-1000000000000003−3−330000−333−30000
χ6022-2-22-12-222-2-121-2-21-2-2-222-2-222-12-1111-12-2-2-11-221-1-2-22211-1-12-2000022-2-211-1-1-2-22200000000-111-11-111-1-100-11-1-11100−333−3000000000011-1-100000000000000−333−300003−3−330000
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χ1368888-4-4-4-8-8-4-4-4-4-4-4-4-4-4444400002222222222224444-2-2-2-2-2-2-2-200000000000000000000000000-1-1-1-1-2-211110000000000000000000000000000000000000000000000000000000000
χ13788-8-8-4-4-48-8-44-4-444444-4-4440000222-2-2-222-2-22-2-44-4422-2-222-2-200000000000000000000000000-111-12-2-1-1110000000000000000000000000000000000000000000000000000000000
χ13888-8-8-4-4-4-88-44-4-44444444-4-40000222-2-2-222-2-22-24-44-4-2-222-2-22200000000000000000000000000-111-1-2211-1-10000000000000000000000000000000000000000000000000000000000
χ1398-88-8-4-4800444-8-48-84-4000000002-4-4-2-44-24-44420000000000000000000000000000000000000022-2-20000000000000000000000000000000000000000000000000000000000000000
χ1408-88-8-4-4-4004444-4-444-443−4343−430000222-22-2-2-22-2-220000−2323−2323−2323−232300000000000000000000000000-1-111003−33−30000000000000000000000000000000000000000000000000000000000
χ1418-88-8-4-4-4004444-4-444-4−4343−43430000222-22-2-2-22-2-22000023−2323−2323−2323−2300000000000000000000000000-1-11100−33−330000000000000000000000000000000000000000000000000000000000
χ1428-8-88-4-48004-44-84-88-44000000002-4-424-4-244-44-2000000000000000000000000000000000000002-22-20000000000000000000000000000000000000000000000000000000000000000
χ1438-8-88-4-4-4004-44444-4-4443−43−434300002222-22-2-2-22-2-20000−232323−23−232323−2300000000000000000000000000-11-11003−3−330000000000000000000000000000000000000000000000000000000000
χ1448-8-88-4-4-4004-44444-4-44−434343−4300002222-22-2-2-22-2-2000023−23−232323−23−232300000000000000000000000000-11-1100−333−30000000000000000000000000000000000000000000000000000000000

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