Finite Group Databasebeta

← Group #13168096

Character table — Group #13168096

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size111122222222222244444444444444444444466888888888888812121212121212121212121212121212121212121212121212181824242424242424242424242424243636363636363654547272727272108
order12223336666666663334666666666121212121212121244366612121212121212121222444666612121212121212121212121212121212226666661212121212121212224446644661212124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111-111-111-1-11111111111111111-1-1-1111-1-11-1-1111-1-11-1-11-1-1-1-1-11-1-1-11-1
χ31111111111111111111111111111111111111111111111111111-111-11-1-1111111111111111111-1-11-1-1-111-111-1-1-111-1-11-11-1-1-1-1-1-111-1-1
χ41111111111111111111111111111111111111111111111111111-1-11-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11111-11-1-1-11
χ51111111111111111111111111111111111111-1-1111111111111111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-11-1-1-111-1-1-11-1-1-1-1
χ61111111111111111111111111111111111111-1-111111111111111-1-11-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11-1-1111-1-1-1-11-11-1-111-1-111-11
χ71111111111111111111111111111111111111-1-11111111111111-11-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-111-111-1-1-1111-1-11-1-1-1111-1-1-111
χ81111111111111111111111111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111111-1
χ91111111111111111111-1111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-111-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-111-1
χ101111111111111111111-1111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-11-1-1-1111-1-11111-1-1-1-11111-1-1-1-1-1-1-1111-1-1-111-1-1-111-1111-1-1-1-1-1-111-111
χ111111111111111111111-1111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11-11-1-1-1111111-1-1-1-11111-1-1-1-1-1-11-1-1-1111-1-1111-1-111-1-11-1-1-1-111-11-11
χ121111111111111111111-1111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1111111111-11-1-111111-11-1-1-1
χ131111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1111-1-11111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-11-11-1-111-1-11-11-1-11
χ141111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-11-1111-1-1-1-1-1-11111-1-1-1-11111-1-1-1111-1-1-111-1-1-11111-1-11-1-11111-11-1-1
χ151111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111-1-1-111-1-1-1-11111-1-1-1-11111-1-11-1-1-1111-1-1111-1-1-1111-1-1-111-111-11-1
χ161111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111111111-1-1-11111-1-1-1-1-1111
χ17222222-12-12-1-122222-1-12-1-12-1-122-1-12222222200-1-1-1-1-1-1-1-1-1-1-1-1-122022-1-1-1-100000000000000002222-1-1-1-1-1-122-1-1-1-102000-1-1000-10000
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χ19222222-12-12-1-122222-1-12-1-12-1-122-1-12222222200-1-1-1-1-1-1-1-1-1-1-1-1-1-220-2211-1-10000000000000000-2-22-211-1-11-12-211-1-10-20001100010000
χ20222222-12-12-1-122222-1-12-1-12-1-122-1-12222222200-1-1-1-1-1-1-1-1-1-1-1-1-1-2-20-2-21111000000000000000022-2-2111111-2-2111102000-1-1000-10000
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χ24222222-12-12-1-122222-1-1-2-1-12-1-122-1-1-2-2-2-2-2-2-2-200-1-1-1-1111111111-2-20221111000000000000000022-2-21111-1-122-1-1-1-10-2000-1-100010000
χ2522222-12-12-122222-1-12-122-1-12-1-1-12-1-1-122-1-1-1-122-1-1-1-1222-1-1-1-1-1-1202202200-1-12222-1-1-1-1-1-1-1-1-1-1000-1-1-100200-1-1-100200200000-1000-10
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χ2722222-12-12-122222-1-12-122-1-12-1-1-12-1-1-122-1-1-1-1-2-2-1-1-1-1222-1-1-1-1-1-120-220220011-2-2-2-21111111111000-1-1-100200-1-1-100-200-200000100010
χ2822222-12-12-122222-1-12-122-1-12-1-1-12-1-1-122-1-1-1-1-2-2-1-1-1-1222-1-1-1-1-1-1-20-2-20-2-20011-2-2-2-2111111111100011100-20011100200200000-1000-10
χ2922222-12-12-122222-1-12-1-22-1-12-1-1-12-111-2-2111122-1-1-1-1-2-2-211111120-2-202200-1-122-2-211-1-1-1-11111000-1-1-100-20011100-2002000001000-10
χ3022222-12-12-122222-1-12-1-22-1-12-1-1-12-111-2-2111122-1-1-1-1-2-2-2111111-20-220-2-200-1-122-2-211-1-1-1-1111100011100200-1-1-100200-200000-100010
χ3122222-12-12-122222-1-12-1-22-1-12-1-1-12-111-2-21111-2-2-1-1-1-1-2-2-2111111202-20220011-2-222-1-11111-1-1-1-1000-1-1-100-20011100200-200000-100010
χ3222222-12-12-122222-1-12-1-22-1-12-1-1-12-111-2-21111-2-2-1-1-1-1-2-2-2111111-20220-2-20011-2-222-1-11111-1-1-1-100011100200-1-1-100-2002000001000-10
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χ342222-12222222-1-1-12-1-122-12-1-12-1-1-1222-1-1-1-1-1-122-1-1-1-12-1-122-1-1-1-10-220-200-2-222-1-1-1-122-1-1-1-1-1-1-1-1001000110-210001100-20-20000001100
χ352222-12222222-1-1-12-1-122-12-1-12-1-1-1222-1-1-1-1-1-1-2-2-1-1-1-12-1-122-1-1-1-102-2020022-2-21111-2-21111111100-1000-1-102-1000-1-100-20-20000001100
χ362222-12222222-1-1-12-1-122-12-1-12-1-1-1222-1-1-1-1-1-1-2-2-1-1-1-12-1-122-1-1-1-10-2-20-200-2-2-2-21111-2-211111111001000110-210001100202000000-1-100
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χ382222-12222222-1-1-12-1-12-2-12-1-12-1-1-12-2-211111122-1-1-1-1-211-2-211110-2-20200-2-222-1-111-2-2-1-1-1-111110010001102-1000-1-10020-2000000-1100
χ392222-12222222-1-1-12-1-12-2-12-1-12-1-1-12-2-2111111-2-2-1-1-1-1-211-2-211110220-20022-2-211-1-1221111-1-1-1-100-1000-1-10-21000110020-2000000-1100
χ402222-12222222-1-1-12-1-12-2-12-1-12-1-1-12-2-2111111-2-2-1-1-1-1-211-2-211110-220200-2-2-2-211-1-1221111-1-1-1-10010001102-1000-1-100-2020000001-100
χ4122-2-222222-2-2-2-22-2-22220-2-2222-2-2-2-2000000002i−2i2-2-220000000000000000002i−2i2i−2i00002i2i−2i−2i00002-200000000000000000002-22i−2i000000
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χ4544444-2-2-2-2-2-2-2444-2-2-214-21-2-21-2-2-21-2-244-2-2-2-2001111-2-2-211111140040-2-2000000000000000000000-21100-200-21100000000000000000
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χ944-4-44-2-242-4-2-44-22221-2-202-2-122-11-2223−2300−333−3001-11-100023−23−333−30000000000000−2323003-3-333−3−330000000000000000000000000000000
χ954-4-44-2-242-4-2-44-22221-2-202-2-122-11-22−2323003−3−33001-11-1000−23233−3−33000000000000023−23003-3-33−333−30000000000000000000000000000000
χ964-4-44-2-242-4-2-44-22221-2-202-2-122-11-22−2323003−3−33001-11-1000−23233−3−330000000000000−232300-333-33−3−330000000000000000000000000000000
χ978888-4-4-4-4-4-4-4-4-4-4-4-42228222222222-4-4-4-4222200-1-1-1-1-42222-1-1-1-100000000000000000000000000000000000000000000000000000000
χ988888-4-4-4-4-4-4-4-4-4-4-4-4222-82222222224444-2-2-2-200-1-1-1-14-2-2-2-2111100000000000000000000000000000000000000000000000000000000
χ9988-8-88-4-4-4-4444-88-84-4-4204-2-4-42444-200000000002-2-2200000000000000000000000000000000000000000000000000000000000000000
χ10088-8-8-48-48-4-8444-44-8-42-40-24-42-444-2400000000002-2-2200000000000000000000000000000000000000000000000000000000000000000
χ10188-8-8-4-4-4-4-44444-4442220-2-2222-2-2-2-2000066-6-600-111-100000-3-33300000000000000000000000000000000000000000000000000000000
χ10288-8-8-4-4-4-4-44444-4442220-2-2222-2-2-2-20000-6-66600-111-10000033-3-300000000000000000000000000000000000000000000000000000000
χ1038-88-88-4-4444-44-8-88-4-4-420-4-244-2-4442000000000022-2-200000000000000000000000000000000000000000000000000000000000000000
χ1048-88-8-4-4-4444-4444-4-422202-2-2-2-22-2-220043−43−2323−232300-1-1110−2323003−33−300000000000000000000000000000000000000000000000000000000
χ1058-88-8-4-4-4444-4444-4-422202-2-2-2-22-2-2200−434323−2323−2300-1-111023−2300−33−3300000000000000000000000000000000000000000000000000000000
χ1068-8-88-48-4-8484-4-444-8-42-40-2-44-244-42400000000002-22-200000000000000000000000000000000000000000000000000000000000000000
χ1078-8-88-4-4-444-44-4-44442220-22-2-2-2-222-243−4300−232323−2300-11-11000−23233−3−3300000000000000000000000000000000000000000000000000000000
χ1088-8-88-4-4-444-44-4-44442220-22-2-2-2-222-2−43430023−23−232300-11-1100023−23−333−300000000000000000000000000000000000000000000000000000000

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