Finite Group Databasebeta

← Group #13167998

Character table — Group #13167998

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11112222222222224444444444444446666888888888888888812121212121212121212121212121212121212121818181818182424242424242424242424242424242436363636363636363636367272108108
order122233366666666633346666666661212222236661212121212121212121212124444666666661212121212121212226666666612121212121212121212121244444121212121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111-1-1111111111111-1-1-1-11111111111-11-111111-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-111111111111111111-11111-1-111-1-111-1-11111-1-1-1-1-1-111-1-1111-111-1-11111-1-1-111-1-111-1-11-1-1-1
χ4111111111111111111111111111111111-1-111111111111111111-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11-1-111-1-1-1-1-1-111-1-1-1-1-1-1-111-1111
χ51111111111111111111111111111111-1-1111111111111111111-1111-1-111-1-111-1-1111111-1-1-1-1-1-1-1-1111-111-1-111111111-1-1-1-1-1-1-111-11-1-1
χ61111111111111111111111111111111-1-1111111111111111111-11-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11-1-111-1-1-1-1-1-1-111-1-111-1-11-111
χ71111111111111111111111111111111-1-1-1-11111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11-11-1-1-1-1-11111-1-11-1-111-1-1-1-1-1-111
χ81111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1
χ91111111111111111111-1111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1111111111111-1-11-1-1-1-1-111-1-11-1-11-1-1-1-1-1111-1-11
χ101111111111111111111-1111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-111-1-111111111111-1-1-1-1-1-1-1-1-111-11-1-11-1-111-1-1-111-1
χ111111111111111111111-1111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-111-1-1-1-111-1-111-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1111-111-1-1-1-1111-1
χ121111111111111111111-1111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11-1-11-1-111-1-1111-11-11111111-1-1-11
χ131111111111111111111-1111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-111-1-11111-1-1-1-111-1-1-1-1-1-1-1-111-111-111-1-111-1-11-11-11111111-1-11-1
χ141111111111111111111-1111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-111-1-11111-1-111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1111-111-1-1-1-111-11
χ151111111111111111111-1111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1111111111-1-1-11-1-11-1-111-1-1-11-11
χ161111111111111111111-1111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-11-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-111-111111-1-1111-1-11-1-1-1-1-1111-11-1
χ17222222-122-122-1-1222-1-122-1-1-1-12-1-12-1-12222-1-1-1-122-1-1-1-122-1-1-1-122002222-1-1-1-1-1-1-1-1000022-1-1-1-1-1-1-1-10202-1-1-1-1000000200-1-100000000
χ18222222-122-122-1-1222-1-122-1-1-1-12-1-12-1-122-2-2-1-1-1-122-1-1-1-122-1-1-1-12-20022-2-2-1-111-1-1110000-2-21111-1-111020-2-1-111000000-2001100000000
χ19222222-122-122-1-1222-1-122-1-1-1-12-1-12-1-1-2-222-1-1-1-122-1-1-1-122-1-1-1-1-2200-2-22211-1-111-1-10000-2-2111111-1-10-20211-1-1000000-2001100000000
χ20222222-122-122-1-1222-1-122-1-1-1-12-1-12-1-1-2-2-2-2-1-1-1-122-1-1-1-122-1-1-1-1-2-200-2-2-2-211111111000022-1-1-1-111110-20-21111000000200-1-100000000
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χ22222222-122-122-1-1222-1-1-22-1-1-1-12-1-121122-2-2-1-1-1-1-2-21111-2-21111-220022-2-2-1-11111-1-10000-2-21111-1-1110-20211-1-1000000200-1-100000000
χ23222222-122-122-1-1222-1-1-22-1-1-1-12-1-1211-2-222-1-1-1-1-2-21111-2-211112-200-2-22211-1-1-1-1110000-2-2111111-1-1020-2-1-111000000200-1-100000000
χ24222222-122-122-1-1222-1-1-22-1-1-1-12-1-1211-2-2-2-2-1-1-1-1-2-21111-2-211112200-2-2-2-21111-1-1-1-1000022-1-1-1-111110202-1-1-1-1000000-2001100000000
χ2522222-122-122-122-12-12-12-12-12-1-12-1-1222200-1-1-1-12-122-1-1-1-1-1-1-1-12022-1-10022002200-1-122000000-1-1002-1-10-1-100-1-1-1-10002200-1-100-1000
χ2622222-122-122-122-12-12-12-12-12-1-12-1-1222200-1-1-1-12-122-1-1-1-1-1-1-1-120-2-2-1-1002200220011-2-2000000-1-100-2-110-1-1001111000-2-20011001000
χ2722222-122-122-122-12-12-12-12-12-1-12-1-122-2-200-1-1-1-12-122-1-1-1-1-1-1-1-1-20221100-2-200-2-200-1-122000000110021-101100-1-1-1-1000-2-20011001000
χ2822222-122-122-122-12-12-12-12-12-1-12-1-122-2-200-1-1-1-12-122-1-1-1-1-1-1-1-1-20-2-21100-2-200-2-20011-2-20000001100-2110110011110002200-1-100-1000
χ2922222-122-122-122-12-12-1-2-12-12-1-12-1-1-2-22200-1-1-1-1-21-2-211111111-202-2-1-1002200-2-2001122000000-1-100-21-101100-1-1110002-2001100-1000
χ3022222-122-122-122-12-12-1-2-12-12-1-12-1-1-2-22200-1-1-1-1-21-2-211111111-20-22-1-1002200-2-200-1-1-2-2000000-1-1002110110011-1-1000-2200-1-1001000
χ3122222-122-122-122-12-12-1-2-12-12-1-12-1-1-2-2-2-200-1-1-1-1-21-2-211111111202-21100-2-200220011220000001100-2-1-10-1-100-1-111000-2200-1-1001000
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χ332222-122-122-12222-1-1-122-1-12-12-1-12-1220022-1-1-1-1-12-1-122-1-1-1-1-1-1022200-1-10022002222-1-100000000-1-1-102-100-1-1-1-1-1-1220000000-1-10-100
χ342222-122-122-12222-1-1-122-1-12-12-1-12-1220022-1-1-1-1-12-1-122-1-1-1-1-1-102-2-200-1-100220022-2-21100000000-1-110-2-100-1-11111-2-20000000110100
χ352222-122-122-12222-1-1-122-1-12-12-1-12-12200-2-2-1-1-1-1-12-1-122-1-1-1-1-1-10-222001100-2-200-2-222-1-10000000011-10210011-1-1-1-1-2-20000000110100
χ362222-122-122-12222-1-1-122-1-12-12-1-12-12200-2-2-1-1-1-1-12-1-122-1-1-1-1-1-10-2-2-2001100-2-200-2-2-2-211000000001110-2100111111220000000-1-10-100
χ372222-122-122-12222-1-1-12-2-1-12-12-1-12-1-2-20022-1-1-1-11-211-2-21111110-22-200-1-1002200-2-2-2-2-1-100000000-1-110210011-1-1112-20000000-1-10100
χ382222-122-122-12222-1-1-12-2-1-12-12-1-12-1-2-20022-1-1-1-11-211-2-21111110-2-2200-1-1002200-2-2221100000000-1-1-10-21001111-1-1-220000000110-100
χ392222-122-122-12222-1-1-12-2-1-12-12-1-12-1-2-200-2-2-1-1-1-11-211-2-2111111022-2001100-2-20022-2-2-1-10000000011102-100-1-1-1-111-220000000110-100
χ402222-122-122-12222-1-1-12-2-1-12-12-1-12-1-2-200-2-2-1-1-1-11-211-2-211111102-22001100-2-2002222110000000011-10-2-100-1-111-1-12-20000000-1-10100
χ4122-2-2222222-2-2-2-2-2-22220222-2-2-2-2-2-2002-22-222-2-200000000000000002-22-22-22-2000000002-222-2-22-22-2000000000000000000000000000
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χ4922-2-222-122-1-2-211-2-22-1-102-1-111-211-2−332-22-2-1-11100−33−3300−3−33300002-22-2-11-11−33−3300002-2-1-111-11-110000−33−33000000000−3300000000
χ5022-2-222-122-1-2-211-2-22-1-102-1-111-211-2−332-2-22-1-11100−33−3300−3−33300002-2-22-111-1−333−30000-2211-1-1-111-10000−333−30000000003−300000000
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χ5344444-2-24-2-24-2-2-2-24-2-214-2-21-21-2-21-2-2-2440011114-2-2-211-2-211114000-2-200-2-200-2-200000000000011000-20011000000000000000000000
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χ9788-8-8-4-48-4-4844-8-8442-4-402-4-444-244-200000022-2-2000000000000000000000000000000000000000000000000000000000000000000000
χ9888-8-8-4-4-4-4-4-44444442220222-2-2-2-2-2-243−430000-1-11100−2323−23230033−3−3000000000000000000000000000000000000000000000000000000000
χ9988-8-8-4-4-4-4-4-44444442220222-2-2-2-2-2-2−43430000-1-1110023−2323−2300−3−333000000000000000000000000000000000000000000000000000000000
χ1008-88-88-4-4-844-8-4-4448-4-42044-24-2-4-4240000002-22-2000000000000000000000000000000000000000000000000000000000000000000000
χ1018-88-8-48-44-8448-44-8-4-42-404-24-24-42-440000002-22-2000000000000000000000000000000000000000000000000000000000000000000000
χ1028-88-8-4-4-44444-4-444-42220-2-2-2-2-2222-2000000-11-110000006i−6i−3i3i−3i3i000000000000000000000000000000000000000000000000000000000
χ1038-88-8-4-4-44444-4-444-42220-2-2-2-2-2222-2000000-11-11000000−6i6i3i−3i3i−3i000000000000000000000000000000000000000000000000000000000
χ1048-8-888-4-4-844844-4-4-8-4-42044-2-4244-2-40000002-2-22000000000000000000000000000000000000000000000000000000000000000000000
χ1058-8-88-48-44-84-4-84-484-42-404-242-44-24-40000002-2-22000000000000000000000000000000000000000000000000000000000000000000000
χ1068-8-88-4-4844-8-44-88-442-4-40-244-4-4-24420000002-2-22000000000000000000000000000000000000000000000000000000000000000000000
χ1078-8-88-4-4-4444-444-4-442220-2-2-222-2-2-22000000-111-100000000−3i33i33i3−3i3000000000000000000000000000000000000000000000000000000000
χ1088-8-88-4-4-4444-444-4-442220-2-2-222-2-2-22000000-111-1000000003i3−3i3−3i33i3000000000000000000000000000000000000000000000000000000000

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